This paper reviews the proposals on the constraint combination and show evidence of the proposals to ban the markedness-faithfulness constraint combination. Three types of constraint combination, CAP-junction, CUP-junction and IF-junction, have been reviewed along with their roles in analyzing actual linguistic data. It is shown that contrary to some proposals in the literature, the markedness-faithfulness constraint combination can be dispensed with. This paper focuses on the data that were previously thought to argue for the necessity of the markedness and faithfulness combination in CUP-junction and IF-junction and presents alternative analyses without resorting to the markedness-faithfulness combination, which can systematically restrict the combinability and explain the paradigmatic gaps in constraint combination.