A license that has been expired may be renewed at any time within two years after its expiration on filing an application for renewal on a form prescribed by the board and payment of the renewal fee in effect on the last regular renewal date. If the license is not renewed within thirty days after its expiration, the licensee shall pay a late fee determined by the board not to exceed one hundred fifty dollars. Renewal under this section is effected on the date on which the application is filed, on the date which the renewal fee is paid, or on the date on which the late fee, if any, is paid, whichever last occurs. A license that is not renewed within two years after its expiration may be renewed by filing an application for renewal on a form prescribed by the board, payment of the late fee, and passing the law and rules examination.