Is it acceptable to be platonic friends with an ex-lover, when dating someone?

Anonymous
It's weird right? I'm not friends with my longterm ex as he turned out to be a cheat, but when I've had short-term casual boyfriends and we end things amicably, we've ended up being great friends. I wouldn't be interested in them romantically as I know they're not right for me, so we end up being good friends. Two of my closest friends I used to date; they've got girlfriends and such and I still see them for catch ups.
Is it acceptable to be platonic friends with an ex-lover, when dating someone?
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