From what I understand, if you have a magnet moving with a relative velocity towards a coil, Lenz's law states that the current flow induced in the coil will create a magnetic field that opposes the change that induced it. So it will essentially create a magnet with an opposing field to the magnet moving towards it.
In the picture below, disregarding magnet 2, if magnet 1 moves towards the coil it induces a magnetic field in the coil as shown, with the 'north pole' of the coil repelling the north pole of magnet 1. If you only look at magnet 2 now, moving away from the coil as shown, it creates a 'south pole' in the coil that attracts the north pole of magnet 2.
If I am correct until this point, would that mean that if the two magnets were in motion together, in the same direction but on opposite sides of the coil, the induced voltage in the coil would be doubled? Is there something that I am missing in this interaction? Thanks in advance for any clarification.