The myth
SSDs only survive a limited number of writes, so after a few years they are done. The sentence sounds like tech knowledge, and fifteen years ago it was not entirely wrong. Today it is misleading.
What is actually true
A common one terabyte SSD like the Samsung 990 PRO is rated for 600 terabytes written according to its datasheet, and the two terabyte model for 1,200. If you write 50 gigabytes every day, which is a lot for a home PC, 600 terabytes last almost 33 years. Most people write a fraction of that.
The warranty still ends earlier: for this model after five years or 600 terabytes written, whichever comes first. That is a warranty limit though, not a lifespan, just like a car does not stop running the day after its warranty expires.
The grain of truth
A memory cell really does survive only a limited number of writes; that is physics, not a rumour. The myth comes from the era of the first SSDs, when that number was much lower and the drives were far smaller: the same daily amount of data was spread across far fewer cells.
What to do instead
Check your SSD's datasheet for the terabytes written figure, usually abbreviated as TBW, and weigh it against your actual usage. Samsung states in the datasheet that the endurance testing behind it complies with the JEDEC standard JESD218, so the number comes from a defined test procedure rather than a marketing claim.
And keep making backups. Cell wear is not the only way to lose data, and no TBW figure, however large, protects you against theft, a defect or an accidental delete.