If, upon receipt of a petition meeting the requirements of section 61-16.1-39.1, or upon the board’s own motion, the board determines a project established under the provisions of this chapter requires maintenance, the board may provide the required maintenance by using the same method used initially to finance the project. Unless otherwise provided by law or agreement, the participation of the state in financing the initial project does not bind the state to finance any maintenance. Any maintenance financed through special assessments may not exceed the maximum levy established by section 61-16.1-45. This section does not apply to maintenance of assessment drains.