Yes, otherwise you wouldn't have so many ban appeals in meta. But the reasons better be good.
Well the main reason for a ban is spam, the first ban is considered a warning, if your ban was extended it means you either kept spamming or you evaded the ban. In both cases your chances are very low to have your ban removed before the time is up or lifted if its permanent. I think most either get it directly or after the first ban.
And I do think the extension of ban was rightfully done as I did try to evade my ban by posting from my alt, but isn't there some way to make things right?
Sure there is, wait out the ban. 2nd ban would be 14 or 60 days depending on the first one. The damage was done and everything you say now are just words and thus will not change the admins view on the ban. The only thing you can do is to not spam once you have your accounts back and that requires you to wait.
As for the bolded part I didnot understand it
What I meant with the bolded part was that there a essentially a few types of people here. Those that newer get banned, those that get a few bans and change their behavior accordingly and those that never get it and just keep getting banned with their new accounts. Currently I think you are one of those that get it after a ban or two.
Keep in mind that I am no part of the admin team nor related, yadda, yadda, yadda... thus I might be wrong and you are the special case, but I doubt it.
If 45 day's consider yourself lucky. How you mentioned ban evasion earlier normally that is a automatic perm ban. So someone took it easy on you if you got 45 days.
Just ride it out and do not do any alt's or try to beat the system in that 45 day's. I would guess you would not get lucky a next time on not being perm ban.