I'm no expert in the matter, but I guess the problem is somewhat solved as the magnet then interacts with the field lines and these with the other magnet. It depends on how real you believe these invisible magnetic lines are. The magnetic field turned out to be a very real entity, as when it is perturbed these perturbations travel at the speed of light, and the second magnet feels them with a slight delay. The perturbations also manifest themselves as EM radiation/light.