Wow man you asked for the hardest part to find. I did some searching of my own for that in a junkyard finder and had no such luck. You can also look up a Toyota Land Cruiser cause that has the same rear end in it. The site I use to find the parts I need is CAR-PART.com and it works well for me. Those cars get sucked up pretty quick and I never see those in any local yards. Might want to check out club lexus forums and see if there is any wrecked LX's around here. Good luck you will need it.
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