What are some polite ways to end a conversation when you don't have a good excuse to close the dialogue?

I'm talking to a super polite person who I think might be afraid to be rude so I am not sure they will tell me when they want the conversation to end. How do I end a conversation when I don't have a reason to leave?

What are some polite ways to end a conversation when you don't have a good excuse to close the dialogue?
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