it is true that for any pure entangled state there exists a choice of measurements that produce bell nonlocal correlations, but the situation is more complex for mixed states. while any bell nonlocal state must be entangled, there exist (mixed) entangled states which do not produce bell nonlocal correlations (although, operating on several copies of some of such states, or carrying out local post-selections, it is possible to witness nonlocal effects). in addition, reasonably simple examples of bell inequalities have been found for which the quantum state giving the largest violation is never a maximally entangled state, showing that entanglement is, in some sense, not even proportional to nonlocality.