argue way out of
argue (one's) way out (of)
To escape a problem or punishment by a clever or otherwise effective argument or explanation. How did she argue her way out of yet another speeding ticket? I am absolutely furious with you; there is no way you can just argue your way out this time.
argue one's way out of somethingand argue one's way out
to talk and get oneself free of a problem. You can't argue your way out of this! It's a problem, and there is no way that you can argue your way out.