The plane of shadows is not always dark, it's shadowy.
Also, as a biologist: life even on our planet doesn't necessarily need sunlight. There's chemical energy, or gamma radiation that works too. In a magical world, there's so many more ways.
Edit: to absorb black light, if such a thing existed, you'd need a white pigment (albuphyll, maybe? I'm not good at old languages). Chlorophyll absorbs mostly red light.