Abstract: The disclosure concerns air cleaners (70) and replacement parts for air cleaners. A preferred replacement part air filter cartridge (1) is depicted which includes first and second ends, with filter media extending therebetween; and, a laterally outwardly flexible axial seal ring (22) on the first end, circumscribing an air flow exit aperture. Examples of preferred filter cartridges with preferred laterally flexible axial seal rings (22) thereon, are shown and described. Also described is an air cleaner (70) including the filter cartridge (1). Further, an air cleaner including an air aperture (105) in communication with a region between an axial seal ring (22) and a radially extending dust shield (45) is provided. Methods of assembly and use are described.