Registration under Sections 6-49.1, 6-50, 6-50.2, 6-50.3 and 6-51 of this Article shall be made in the manner provided by Sections 6-34, 6-35 and 6-37 of this Article. With respect to registrations at the office of the Board of Election Commissioners under Section 6-50 hereof, applications to complete registrations and hearings thereon shall (except as may be otherwise provided in Sections 6-43 and 6-60 of this Article) be made and heard at such times as may by rule be prescribed by the Board of Election Commissioners, but the hearing and decision thereof by the Board of Election Commissioners shall be within 30 days after the application for registration. In such cases and in all other cases not specifically provided for by this Article, applications for hearings by the court may be made within 5 days after decision by the board in the manner provided by Section 6-46, and a hearing and decision by such court shall be had within 30 days after such application. Appeals may be taken as in other civil cases. In all cases where registration is had at the office of the Board of Election Commissioners within 42 days before any election hearings by such board and by the court shall (except as may be otherwise provided in Sections 6-43 and 6-60 of this Article) be on the days preceding the election specified in Sections 6-45 and 6-46 of this Article. Hearings and decisions shall be had within the periods specified by such sections.