A lien imposed pursuant to sections 3123.66 to 3123.68 of the Revised Code shall have priority over liens, mortgages, security interests, or other types of encumbrances that are associated with the real and personal property subject to the lien imposed by sections 3123.66 to 3123.68 of the Revised Code and that arise after the date the lien is filed pursuant to those sections. A lien imposed pursuant to sections 3123.66 to 3123.68 of the Revised Code shall not have priority over liens, mortgages, security interests, or other types of encumbrances associated with the real and personal property subject to the lien imposed by sections 3123.66 to 3123.68 of the Revised Code that arose on or before the date the lien was filed pursuant to sections 3123.66 to 3123.68 of the Revised Code.