Complex sentence: During the meeting, the two realize that they have had the longest and most meaningful relationship either of them has ever had, and apologize to each other with Liz agreeing to sign the divorce papers and Jack promising to restore "TGS" s budget.
Split into simpler sentences: During the meeting, the two realize that they have had the longest and most meaningful relationship either of them has ever had. As a result, they apologize to each other and make up with Liz agreeing to sign the divorce papers and Jack promising to restore "TGS" s budget.