(b) If the company does not correct each ground for dissolution or demonstrate to the reasonable satisfaction of the secretary of state that each ground determined by the secretary of state does not exist within sixty days after service of the notice, the secretary of state shall administratively dissolve the company by signing a certification of the dissolution that recites the ground for dissolution and its effective date. The secretary of state shall file the original of the certificate and serve the company with a copy of the certificate.
(c) A company administratively dissolved continues its existence but may carry on only business necessary to wind up and liquidate its business and affairs under section 8-802 and to notify claimants under sections 8-807 and 8-808.
(d) The administrative dissolution of a company does not terminate the authority of its agent for service of process.