You may need to bin it!
Agree with VFRpilotpb. It all depends on the aircraft condition at the time, and sometimes the bill may be so high that overhauling is not an option at all
I used to fly for AVIATUN (tuna spotting), and in most cases the company would bin the R-22s when they reached their 2,000 hours. Yes, I saw aircraft going to the skip with no remorse, but certainly they had made enough money to buy a few new ones!
At that time aircraft were still fully serviceable, but corrosion would start to show in some components, mainly due to the long trips in the Pacific Ocean with no hangar. Only continous washing from the engineer/pilot - twice a day- and loads of oil would keep it going. Nevertheless, once you saw small corrosion signs, you knew that the aircraft life had come to an end.
By the way, in most of the cases, aircraft reached 2,000 hours in less than 2 years.