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FilledSmallSquareCellEvaluationDuplicate is an option for Cell which specifies whether the front end should make a copy of the cell before performing any evaluation of its contents that you request.

FilledSmallSquare New cells generated when CellEvaluationDuplicate->True have styles specified by the setting for DefaultDuplicateCellStyle for the notebook.

FilledSmallSquareCellEvaluationDuplicate is typically set for styles of cells rather than for individual cells.

FilledSmallSquare See The Mathematica Book: Section 2.10.9.

FilledSmallSquare See also: CellEditDuplicate, Evaluatable, CellAutoOverwrite.