The person who is the Lord Mayor of London, and the persons who are aldermen of the City of London, at the end of the period of two months beginning with the day on which this Act is passed shall be treated as having at that time been appointed in accordance with section 5 of the Justices of the Peace Act 1997 as justices of the peace for the commission area which includes the City of London; and, accordingly, subsection (1A) of section 6 of that Act (inserted by paragraph 48 of Schedule 10 to this Act) has effect in relation to them.