An air filter cartridge comprising: (a) a media pack having an outer perimeter and opposite flow faces (550, 551); and, (b) a housing engagement member surrounding the media pack; the housing engagement member including a seal arrangement having: a pinch seal portion; and, a seal support portion; characterized by (c) a member of an air cleaner security, housing closure, inhibition arrangement positioned in the housing engagement member; (i) the housing engagement member comprising a pocket arrangement including at least one receiving pocket therein; the at least one receiving pocket being a closed interior pocket; the pinch seal portion having an outer perimeter and opposite surfaces (560u, 560d); the at least one receiving pocket being positioned radially inwardly from the outer perimeter of the pinch seal portion; and, the at least one receiving pocket of the pocket arrangement extending at least 10 mm further toward one of the flow faces (550, 551) than adjacent portions of each of the opposite surfaces (560u, 560d) of the pinch seal portion. (a) a media pack having an outer perimeter and opposite flow faces (550, 551); and, (b) a housing engagement member surrounding the media pack; the housing engagement member including a seal arrangement having: a pinch seal portion; and, a seal support portion; characterized by (c) a member of an air cleaner security, housing closure, inhibition arrangement positioned in the housing engagement member; (i) the housing engagement member comprising a pocket arrangement including at least one receiving pocket therein; the at least one receiving pocket being a closed interior pocket; the pinch seal portion having an outer perimeter and opposite surfaces (560u, 560d); the at least one receiving pocket being positioned radially inwardly from the outer perimeter of the pinch seal portion; and, the at least one receiving pocket of the pocket arrangement extending at least 10 mm further toward one of the flow faces (550, 551) than adjacent portions of each of the opposite surfaces (560u, 560d) of the pinch seal portion. (i) the housing engagement member comprising a pocket arrangement including at least one receiving pocket therein; the at least one receiving pocket being a closed interior pocket; the pinch seal portion having an outer perimeter and opposite surfaces (560u, 560d); the at least one receiving pocket being positioned radially inwardly from the outer perimeter of the pinch seal portion; and, the at least one receiving pocket of the pocket arrangement extending at least 10 mm further toward one of the flow faces (550, 551) than adjacent portions of each of the opposite surfaces (560u, 560d) of the pinch seal portion. the at least one receiving pocket being a closed interior pocket; the pinch seal portion having an outer perimeter and opposite surfaces (560u, 560d); the at least one receiving pocket being positioned radially inwardly from the outer perimeter of the pinch seal portion; and, the at least one receiving pocket of the pocket arrangement extending at least 10 mm further toward one of the flow faces (550, 551) than adjacent portions of each of the opposite surfaces (560u, 560d) of the pinch seal portion.