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smudge2
1 [intransitive and transitive] if ink, writing etc smudges, or if you smudge it, it becomes dirty and unclear because it has been touched or rubbed : 
Don't touch it! You'll smudge the ink.
Don't touch it! You'll smudge the ink.2 [transitive] to make a dirty mark on a surface : Someone had smudged the paper with their greasy hands.
Someone had smudged the paper with their greasy hands.