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FilledSmallSquareAnchoredSearch is an option for Find and FindList which specifies whether the text searched for must be at the beginning of a record.

FilledSmallSquare With the default setting RecordSeparators -> {"\n"}, AnchoredSearch -> True specifies that the text must appear at the beginning of a line.

FilledSmallSquare See The Mathematica Book: Section 2.11.9.