Actually if you read the entire Title 43, Section 123 you will see it is actually a 30 day time period from the date of the final discharge of the divorce
It shall be
unlawful for either party to such cause to marry any other person and
cohabit with such person in this state until the expiration of thirty
(30) days from the date on which final judgment shall be rendered
pursuant to such appeal
Of course that same statue also makes it illegal for the other party just to live with another person during that time period
*** so obviously it is a law that is not enforced
(6) months from date of decree of
divorce granted in this state, or to cohabit with such other person in
this state during said period if the marriage took place in another
state; and if an appeal be commenced from said decree