Animals shed. Hair in a *live * follicle doesn’t last forever. How does fur stay so tightly intact in a fur coat?
The short answer is that it doesn’t. All furs shed, you just do what you can to minimize it, which means lots of chemicals during the tanning process and treating it with kid gloves once it’s a coat . Google “tannery” and “furrier” for more information than you could ever want.
You can start here.