The Commission shall complete its affairs in connection with the settlement of claims pursuant to section 1641d(a)(1) of this title not later than two years, and all other claims pursuant to this subchapter not later than four years, following August 9, 1955, or following the date of enactment of legislation making appropriations to the Commission for the payment of administrative expenses incurred in carrying out its functions under this subchapter, whichever date is later.