(1) A certificate of dissolution must be delivered to the Office of the Secretary of State for filing upon commencement of winding-up of the limited liability company in connection with the dissolution of the limited liability company pursuant to Article 8 of this chapter. A certificate of dissolution must be delivered to the Office of the Secretary of State for filing and must set forth:
(a) The name of the limited liability company;
(b) The future effective date of dissolution, which must be a date certain not later than the ninetieth day after it is filed by the Secretary of State, unless it is effective upon the filing of the certificate; and
(c) Any other information the person delivering the certificate for filing determines.
(2) The Secretary of State shall not issue a certificate of existence with respect to a limited liability company after the effective date of the certificate of dissolution of such limited liability company.