When two magnets with like poles face each other and move through a copper coil, they will still demonstrate the dampening effect of Lenz's law, which opposes the motion of the magnets. The current induced in the coil will alternate direction as the magnets move, creating resistance to their motion. There is no net current in one direction due to the equal flux contributions from both south poles. The key factor is whether there is a change in magnetic flux through the coil as the magnets move. Overall, Lenz's law remains applicable in this setup, preventing perpetual motion.