If you are want to wire the Hellas to come on with your hi-beams, then use the provided wire tap to attach the green wire to the hi-beam wire on the drivers side (makes running the wires easier to do it on the drivers side) then run the green wire either to the switch or directly to terminal 86 on the relay. If you want the Hellas available whenever you have power to the lights, connect the green wire to the parking lamp and run it thru the switch. If you want to have the ability to turn on the Hellas whenever you think you need them, connect the green wire directly to a power terminal and run it thru the switch
*. For an '03 Liberty, the proper wires to connect to are:
hi-beam = light green with brown stripe (lg/br)
parking light = black with yellow stripe (bk/yl)
Not sure if the '05s are the same way but I can't see why they would have changed it. If you need any more detailed instructions PM me and I'll help you out.
* = LEGAL DISCLAIMER: connecting driving lights so that they can come on when the hi-beams are not on could be a violation of local and/or state ordinances/laws. I'm not saying that you shouldn't do it, but if you do and a cop wants to write you a ticket for it, remember that you have been warned
