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Just an idea that popped into my head one day. I'm not sure how it would come about (I only have a broad understanding of the period not a more detailed one, working on it) but what if the Church and Papacy accept some (or all I suppose however unlikely) of the changes Luther suggested. Instead of the Church splitting it would well reform to rectify the grievances put forth by Luther.
I know I'm being vague hope I got my point across I'll clear things up should they arise. I'm just wondering if this is possible at all.