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When one isn't willing to admit drunkenness, hence they express that they're sober as a fox. The fox denotes that they can remain streamlined and sly about their condition, when in fact they are more drunk than they are willing to admit.
Mom: "Tommy, have you been drinking tonight?"
Tommy: "Nah ma, I'm sober as a fox."
by Foxy-dude September 10, 2010