I think that depends highly on the people and the situation. I do know of people that have broken up and have remained very close and dear friends.

But sometimes even if the breakup is mutual and amicable, there are just too many strong emotions (good ones as well as bad ones) that makes staying close difficult. Maybe in time it could get easier.

So yes I think it is mature and reasonable to remain friends, but I do not thing it is immature nor unreasonable if one or both of the parties find the situation just too emotionally charged, at least for a time.

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