To see what the difference is, at night with your lows on, slowly pull the high switch, you will see that right before they "kick" in to High, Both the Low and the High Beam are on. Once you fully engage the "highs" the low beams cut out.
By adding another relay now when you Pull the "High" on, it turns on the relay for the "Lows"...
More Light Better Driving.
NEW IMPROVED

It was a doh moment, yea I could of used a diode, to do the same thing, but relays are more stable IMHO.
originally I did this:

original thread
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