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Point of random curiosity: In 5e D&D, what do high level characters do?

No snark in the question - I'm genuinely thinking through the feel of high level play, since I've never gotten past low teens at the table. So, I know they can just go into bigger dungeons, sure, and even if they're not well supported, it wouldn't be hard to bring in stronghold building, or Birthright rules.

So my core question is: beyond those things, what do high level 5e characters *do*? (If anything).