I don't see any reason given for why the ban should be removed.
This account wasn't banned for LMAOBOX spam either, it was banned because of being a "Duplicate account." Considering the great length of the ban too, this means you must've avoided a LMAOBOX spam ban on an alternative account but still on your IP a lot. I can't check all the bans listed on your IP now but usually this is suggestive of throwaway account usage, care to explain?
Also if this was a mistaken ban as you say then why are you only appealing it now after over 4 months has passed?