The board of supervisors of a county or the governing authorities of a municipality may each enter into an agreement with an enterprise operating a project as defined in Section 57-75-5(f)(iv)1, Section 57-75-5(f)(xxi), Section 57-75-5(f)(xxii), Section 57-75-5(f)(xxviii) or Section 57-75-5(f)(xxix), providing that the county or municipality will not levy any taxes, fees or assessments upon the enterprise other than taxes, fees or assessments that are generally levied upon all taxpayers, or all other taxpayers in the taxing districts in which such project is located, and the board of supervisors or the governing authorities also may each enter into a fee-in-lieu agreement as provided in Section 27-31-104 and/or Section 27-31-105(2). Such agreements may be for a period not to exceed thirty (30) years, except that any fee-in-lieu agreement entered into under this section and Section 27-31-104 and/or Section 27-31-105(2) shall become effective upon its execution by the enterprise and the county board of supervisors and/or municipal governing authorities, as the case may be, in accordance with Section 27-31-104, and continue in effect until all fee-in-lieu periods granted thereunder have expired; however, the period during which any fee-in-lieu may be granted under this section shall not exceed thirty (30) years, and no particular parcel of land, real property improvement or item of personal property shall be subject to a fee-in-lieu for a duration of more than ten (10) years.