Asphalt is recycled
While new roads are being built and need new asphalt, almost all asphalt in use today gets recycled.
For repaving the interstates, for example, there's a portable recycling unit set up nearby. The old asphalt is scraped up, sent to the recycling unit, cleaned and re-oiled, and sent back out to be repaved again. It takes less than a day for a given piece of asphalt. There is no limit to the number of times asphalt can be recycled this way.
If you've ever driven on an interstate while the repaving process is going on (typically they shut down one side and reroute the traffic to one lane in each direction on the other side), you will see this recycling in action.