Compound Sentences with an Absolute Phrase

Solution 1:

Ticket exchanges for the same game are allowed, and ticket salespersons can work with the venue to reschedule group ticket packages, provided there is no increase in compensation.

Prelimimary point: 'asolutes' are not phrases, but clauses that contain their own subject and whose verb is non-finite. The provided constituent is not a clause at all, but a preposition phrase, and hence not an absolute.

It is in fact a conditional adjunct; it expresses the condition under which the main part of the clause holds; in this case, the 'main' part happens to comprise two independent clauses. The salient interpretation is that both the ticket exchanges and the rescheduling are dependent on the condition being fulfilled.

Conditionals are commonly PP's headed by if, but also by such other prepositions as "provided", "given", and "unless".