Any member of the legislature whose term extends into a forthcoming session or legislature, or a member-elect may file a bill or resolution or a proposal for a bill or resolution with the Legislative Affairs Agency at any time before January 1. The agency shall place a prefiled bill or resolution, which is approved by the sponsor, in proper form and deliver it to the chief clerk of the appropriate house on the day on which the next session convenes or is organized for business. Prefiled bills or resolutions shall be considered as introduced on the day of their delivery to each house.