If you're speaking specifically of this experiment, nowhere in the article does it say that it's using entanglement to do faster-than-light communication. So

If you're speaking specifically of this experiment, nowhere in the article does it say that it's using entanglement to do faster-than-light communication. So I don't think there's anything to explain. If you're asking in general, the very brief summary is this: (1) In both relativistic and non-relativistic formulations of quantum mechanics, it's possible to prove general no-go theorems which show that measurement of entangled states convey no information whatsoever. (2) In non-relativistic quantum mechanics, the Schroedinger equation has solutions which can propagate information faster than light. However, those solutions disappear in proper relativistic formulations of quantum mechanics. Physicists regard the non-relativistic solutions as mathematical artifacts: mathematically interesting, but not of any direct physical interest. (3) People have constructed non-linear variants of quantum mechanics in which it is possible to send information faster-than-light using entanglement. These are toy models - a little like saying "But what if I had a box that could solve the halting problem" in computer science - and, to put it mildly, they are not regarded as promising candidates for physical theories. Not just on account of the FTL problems, either, but also problems like violation of energy conservation, and violations of the second law of thermodynamics. Fun toy theories, but not serious proposals.