To smudge
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a mark with no particular shape that is caused, usually by accident, by rubbing something such as ink or a dirty finger across a surface:
To smudge meaning & definition 1 of To smudge.
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If ink, paint, etc. smudges or if someone smudges it, it becomes dirty or not clear because someone or something has touched it:
To smudge meaning & definition 2 of To smudge.