"take the edge off (something)" is a set phrase meaning to make something more tolerable by dulling its effects. "off of" is horrible. The word "of" should be deleted.
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kouroshhWhat does 'edge off' mean in the text belowNote that there is no constituent "edge off" in that sentence.
kouroshhtaking the edge offAn easy way to remember this expression is to think of a very sharp knife. The edge is the part of the knife that cuts.