Certificates of registration expire on the last day of the month of December following their issuance and become invalid after that date unless renewed. It is the duty of the secretary of the board to notify every person registered under this chapter of the date of the expiration of said certificate of registration and the amount of the fee required for its renewal. Such notice must be mailed to the registrant at the registrant’s last-known address at least one month in advance of the expiration of said certificate. Renewal may be effected at any time prior to or during the month of December by the payment of a fee established by the board not to exceed the fees established for registration. Renewal of an expired certificate may be effected under rules promulgated by the board regarding requirements for re-examination and penalty fees.