They do but it's really large. The Tech Report did an endurance test on SSDs 5-6 years ago [0]. The tests took 18 months before all 6 SSDs were dead.
Generally you're looking at hundreds of terabytes, if not more than a petabyte in total write capacity before the drive is unusable.
This is for older drives (~6 years old as I said), and I don't know enough about storage technology and where it's come since then to say, but I imagine things probably have not gotten worse.
[0]: https://techreport.com/review/27909/the-ssd-endurance-experi...