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It depends on which instance the community is hosted.
Ok how about lemmy.world or lemmy.ml or something?
For each community that banned you, you need to send a message to one of the mods in that community. The modlog shows that you are currently banned from !asklemmy@lemmy.ml and !asklemmy@lemmy.world. Go to each of those communities, look in the community’s sidebar, and you will see the names of the community mods. Click on one of the mods’ names, hit the Send Message button in their profile, and say your piece. It’s up to them to decide if they want to unban you.