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A fancy way to say you're ditching them like a bad first date. It's for when you're too lazy to finish the conversation and too proud to admit it.
'I'm gonna leave you to it', said while looking at the clock like it was the enemy.
'I'm gonna leave you to it', said after the third time they asked about your weekend.
'I'm gonna leave you to it', said right before hanging up on a telemarketer.