[{quoted}](name=The Minion hunt,realm=NA,application-id=ZGEFLEUQ,discussion-id=uOjWVPnv,comment-id=0000,timestamp=2016-06-22T11:37:29.070+0000)
make a new account sry man, but riot can permaban any account they want for any reason or for no reason. it is in the term of agreement(i think), and they don't unpermaban accounts, I've tried.
While they can ban for no reason they don't ban people unless there is a reason (breaking the rules, hacking, scripting, etc) I've yet to see someone get ban over nothing. They have it in their ToS but basically any type of services has that (psn/Xbox live/Nintendo/Steam) it's basically to cover up just in case they do need to terminate their services in case something happens (like if the internet stops working completely)
Also they do unban people but only if the fault of the ban was their own. Like if someone did get wrongfully ban for 3rd party and yet if the double check and see you weren't actually using 3rd party programs they will unban you. If they know you did and you are caught but keep telling them you didn't cheat in any way well you obviously aren't going to get your account back no matter how much you lie!