But the mother plant produces "pups," which you can break off and plant, which can become new mothers themselves. Also, the flowers last a really long time.
I had a pimiento I bought from a grocery store; I knew about the "single flower" thing, but the plant was still going after the flower died and I just couldn't throw it out. Then someone told me about the pups, and now I have 5 healthy pimientos. None have yet bloomed; I need to do more reading and see it they need some special condition - but I just wanted to pass along the information about the pups!