; and (B) to determine whether there is any criminal, national security, or other factor that would render the alien ineligible for such adjustment of status. (2) Completion of background checks The security and law enforcement background checks required by paragraph (1) shall be completed, to the satisfaction of the Secretary, prior to the date the Secretary grants adjustment of status. (i) Exemption from numerical limitations Nothing in this section or in any other law may be construed to apply a numerical limitation on the number of aliens who may be eligible for adjustment of status under this section. (j) Eligibility for naturalization (1) In general An alien whose status is adjusted under this section to that of an alien lawfully admitted for permanent residence may be naturalized upon compliance with all the requirements of the immigration laws. (2) Alien enlistees For purposes of section 316(a), an alien enlistee whose status was adjusted under this section shall be deemed to have satisfied the requirements of paragraphs (1) and (2) of such section, and may apply for naturalization. 7. Treatment of aliens meeting requirements for extension of conditional permanent resident status If, on the date of the enactment of this Act, an alien has satisfied all the requirements of sections 4(a)(1) and 5(d)(1)(D), the Secretary of Homeland Security may cancel removal and grant conditional permanent resident status in accordance with section 4, and may extend conditional permanent resident status in accordance with section 5(d). The alien may apply for adjustment of status in accordance with section 6(a) if the alien has met the requirements of section 5(d)(1) during the entire period of conditional permanent resident status. 8. Exclusive jurisdiction The Secretary of Homeland Security shall have exclusive jurisdiction to determine eligibility for relief under this Act, except where the alien has been placed into deportation, exclusion, or removal proceedings either prior to or after filing an application for