The attorney general shall file an action against a filing entity in the name of the state seeking termination of the entity's existence if:
(1) the filing entity has not cured the problems for which winding up and termination is sought before the 31st day after the date the notice under Section 11.302(b) is mailed; and
(2) the attorney general determines that cause exists for the involuntary winding up of a filing entity's business and termination of the entity's existence under Section 11.301.