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When the fringe of someone's hair is in a perfect horizontal line, regardless of any other section of the user's hair, is known as a 'fine line'.

The term 'fine line' is meant to be used in an informal sense. I.E. to offend someone.
Lady Gaga's white hair style has a fringe where the ends of the fringe match up to be a perfect horizontal line, a 'fine line'.
by mulaW May 22, 2009