If there is one common thread that connects all of humanity regardless of what part of the world you are from and irrespective of what your personal beliefs might happen to be, it is that all of us tend to have a hard time letting go in some way, shape or form. This terminology is usually used to describe how people feel after having a loved one, but we often have some pretty strong feelings about objects that we own as well especially if they have been around for years at any given point in time.
Some might not understand this, but a carpet that you have owned for over a decade which has seen you through both good times as well as bad times will hold a huge amount of nostalgia and emotional value. That is why so many people invest hundreds of dollars into humble carpet cleaning every single year, but sooner or later your carpet will go beyond the point of no return. It is important to recognize when this occurs, and a big part of the reason why that is the case has to do with the fact that trying to clean a carpet that is beyond saving will be futile to the point of absurdity.
If your carpet has extremely frayed fibers or if it is coming apart from the synthetic lining that the fibers come out of, suffice it to say that replacing it is the only option you have left. You can try to steam clean it if you really want to, but it is very likely that this would just make it fall apart even faster.