Prep after removing crown molding

My place has crown molding in every room so I removed it and want to paint the walls and ceilings. It looks like the walls have been painted a few times without removing the molding so there is now a line of paint where the bottom edge of the molding rested. There’s a pretty noticeable lip, probably almost as thick as a dime. I’m guessing from the numerous color changes over the years. How would you smooth that and prep it for paint so that it doesn’t affect the new paint?


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