10A member of the Council appointed under paragraph 2(b) above or elected by the General Synod under paragraph 4 above shall cease to hold office on ceasing to be a member of the Synod, except that a member who is a member of the General Synod may continue to act as a member of the Council so long as that person is entitled to act during a period of dissolution under paragraph 3(4) of Schedule 2 to the Synodical Government Measure 1969 (1969 No.2) and if, following the dissolution of the Synod, that person is not re-elected to the new Synod the Archbishops of Canterbury and York may, on the recommendation of the Appointments Committee, appoint that person as a member to hold office until the thirty-first day of May following the year in which the new Synod comes into being.