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If it's RDF ninja ban, the ban itself is shorter than appeal's wait time for it. So you could use that information, to come to conclusion, that ban appeals may take 5 days, or possibly longer.
It should say here how long the ban is: https://www.warmane.com/account
You get banned when GM reads your ticket which can take an hour or a few days even. Depends on when they're online.
You might want to go over the rules to avoid it happening in the future: http://forum.warmane.com/showthread.php?t=65037
Edited: May 4, 2021
There's no way of really knowing when you will be banned, and you might not even at all. Depends if someone reported you and when a GM sees it, and if they gave correct evidence.