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Then put a breaker bar on the nut and use some manual impact on the breaker bar with a 2-3 lb hammer.
If you're turning the bolts with a wrech or ratchet, you might try an impact gun, it wont be as likely to break the welds as hand turning it.
If you can weld another nut on the underside, try that again. Get a good bead on it, then soak the heck out of the captive nut with some weasel pee (as Blazin' calls it). Then put a breaker bar on the nut and use some manual impact on the breaker bar with a 2-3 lb hammer. My driver-side front mount bolt was so frozen that 5 minutes with an impact wrench didn't turn the socket any. A half hour pounding on it with the method described above and I had it out in one piece.You'll shear off even the hardest bolts by pulling with constant force, especially if you multiply the torque with a cheater-bar. Most things can take pulses of momentary force forever without breaking but will yield and break under longer duration loads, even if those loads are less in force. In short, impact is your friend.