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i have tryed to dowload etc lol and all went good until i tryed to run it !
I have instaled wine last rev
here is what i get after i run it
i am at least a noob on linux ( i just started to lern )
i use Ubuntu 13.10
i followed this guide
and this is the debug down
also a picture

[code]
RADS::Common::RegistryHelp::RegKeyValueString::RegKeyValueString: Failed to find registry value "ProgramW6432Dir" (2). [04/05/14 00:54:19] - Running wine-1.7-LeagueOfLegends lol.launcher.exe (Working directory : /home/alex/.PlayOnLinux/wineprefix/leagueoflegends/drive_c/Riot Games/League of Legends) ( ERROR)[00:54:19.946] RADS::Common::RegistryHelp::RegKeyValueString::RegKeyValueString: Failed to find registry value "ProgramW6432Dir" (2). [04/05/14 00:59:42] - Running wine-1.7-LeagueOfLegends lol.launcher.exe (Working directory : /home/alex/.PlayOnLinux/wineprefix/leagueoflegends/drive_c/Riot Games/League of Legends) ( ERROR)[00:59:43.180] RADS::Common::RegistryHelp::RegKeyValueString::RegKeyValueString: Failed to find registry value "ProgramW6432Dir" (2). wine: Unhandled page fault on write access to 0x00000018 at address 0x7e03124e (thread 0032), starting debugger... fixme:dbghelp_dwarf:dwarf2_parse_subprogram Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0x4214d8,symt:0x4dd630) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:dwarf2_parse_subprogram Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xee2084,symt:0x121359c) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0xf at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xee2134,symt:(nil)) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0xf at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xee2134,symt:(nil)) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0x145297c,symt:(nil)) [04/05/14 01:00:02] - Running wine-1.7-LeagueOfLegends lol.launcher.exe (Working directory : /home/alex/.PlayOnLinux/wineprefix/leagueoflegends/drive_c/Riot Games/League of Legends) ( ERROR)[01:00:03.431] RADS::Common::RegistryHelp::RegKeyValueString::RegKeyValueString: Failed to find registry value "ProgramW6432Dir" (2). wine: Unhandled page fault on write access to 0x7bc10000 at address 0x7e01324e (thread 0030), starting debugger... fixme:dbghelp_dwarf:dwarf2_parse_subprogram Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0x4214d8,symt:0x4dd630) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:dwarf2_parse_subprogram Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xee2084,symt:0x121359c) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0xf at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xee2134,symt:(nil)) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0xf at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xee2134,symt:(nil)) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0x145297c,symt:(nil)) [04/05/14 01:00:16] - Running wine-1.7-LeagueOfLegends lol.launcher.exe (Working directory : /home/alex/.PlayOnLinux/wineprefix/leagueoflegends/drive_c/Riot Games/League of Legends) ( ERROR)[01:00:17.352] RADS::Common::RegistryHelp::RegKeyValueString::RegKeyValueString: Failed to find registry value "ProgramW6432Dir" (2). fixme:ver:GetCurrentPackageId (0x33fb90 (nil)): stub fixme:toolhelp:CreateToolhelp32Snapshot Unimplemented: heap list snapshot fixme:toolhelp:Heap32ListFirst : stub fixme:d3d:check_fbo_compat Format WINED3DFMT_B8G8R8A8_UNORM with rendertarget flag is not supported as FBO color attachment, and no fallback specified. fixme:d3d:check_fbo_compat Format WINED3DFMT_B8G8R8X8_UNORM with rendertarget flag is not supported as FBO color attachment, and no fallback specified. fixme:win:EnumDisplayDevicesW ((null),0,0x33f668,0x00000000), stub! fixme:win:EnumDisplayDevicesW ((null),0,0x33f63c,0x00000000), stub! fixme:win:EnumDisplayDevicesW (L"\\\\.\\DISPLAY1",0,0x33f2f4,0x00000000), stub! wine: Unhandled page fault on write access to 0x00000018 at address 0x7dff624e (thread 0032), starting debugger... fixme:dbghelp_dwarf:dwarf2_parse_subprogram Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0x4a14d8,symt:0x55d630) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:compute_location Only supporting one reg (edx/19 -> -2) fixme:dbghelp_dwarf:dwarf2_parse_subprogram Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xf62084,symt:0x129359c) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0xf at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xf62134,symt:(nil)) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0xf at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0xf62134,symt:(nil)) fixme:dbghelp_dwarf:dwarf2_parse_subprogram_block Unhandled Tag type 0x26 at ctx(0x33c34c,L"libc.so.6"), for debug_info(abbrev:0x14d297c,symt:(nil)) [04/05/14 01:01:30] - Running wine-1.7-LeagueOfLegends lol.launcher.exe (Working directory : /home/alex/.PlayOnLinux/wineprefix/leagueoflegends/drive_c/Riot Games/League of Legends) ( ERROR)[01:01:31.018] RADS::Common::RegistryHelp::RegKeyValueString::RegKeyValueString: Failed to find registry value "ProgramW6432Dir" (2). fixme:ver:GetCurrentPackageId (0x33fb90 (nil)): stub fixme:toolhelp:CreateToolhelp32Snapshot Unimplemented: heap list snapshot fixme:toolhelp:Heap32ListFirst : stub fixme:d3d:check_fbo_compat Format WINED3DFMT_B8G8R8A8_UNORM with rendertarget flag is not supported as FBO color attachment, and no fallback specified. fixme:d3d:check_fbo_compat Format WINED3DFMT_B8G8R8X8_UNORM with rendertarget flag is not supported as FBO color attachment, and no fallback specified. fixme:win:EnumDisplayDevicesW ((null),0,0x33f668,0x00000000), stub! fixme:win:EnumDisplayDevicesW ((null),0,0x33f63c,0x00000000), stub! fixme:win:EnumDisplayDevicesW (L"\\\\.\\DISPLAY1",0,0x33f2f4,0x00000000), stub! wine: Unhandled page fault on write access to 0x00000058 at address 0x7dfef24e (thread 0032), starting debugger...
[/code]

http://pastebin.com/PsyBudB4 my debug now

Try the following :
1- POL > League of Legends > Configure > Install Components > dxfullsetup > Close POL > open POL again > try the game.

2- POL > Tools > Manage Wine version > Wine versions (x86) > install "1.5.24-LeagueOfLegendsShop" > close this window > League of Legends > Configure > Wine version > choose "1.5.24-LeagueOfLegendsShop" > Close POL > open POL again > try the game.

Good Luck, You will NEED it !!