Rear Left Running light not working

on my 91 civic the left rear running light does not come on. Everything else works, except the running light. The right one works, so i was thinking about running an additional clip from the right brake/running light to the left, seeing as they both do the same thing when the running lights are on and when the brakes are applied. So i would splice just before the right light clip, and then run the wire across to the other side. Any thoughts?

Thanks,
John

thats funny my car's lights act funny when I step on the brakes. One side turns off. I think it's a grounding issue tho.(my car I mean). Your plann should work tho, parking lights just stay on.