All licenses issued pursuant to this article, and any renewal
thereof, shall expire on the last day of the last month of the period
for which they are issued, except that no license or renewal shall
be issued for a period expiring after the last day of the 11th month
following the expiration date of the current rabies certificate for
the dog being licensed. In the event an applicant for a license or
renewal presents a statement certified by a licensed veterinarian,
in lieu of a rabies certificate, then the license or renewal shall
be issued for one year from the date of the statement.