Supposedly this is a 1982 Trek 710. If the serial number provided is correct, then it should be.
However, seller states that it has 'Ishiwata Magny X' tubing and the tubing decal at the top of the seat tube in this photo does not look like a Reynolds decal - looks like the white numbers that are found on the Ishiwata decals. According to vintage brochures, the 710s from 1982 (and 1981) used Reynolds 531. The 710 is also supposed to have rear rack eyelets which appear to be missing.
The frame (dark blue) and seat tube panel (pewter) colors look correct -but the head tube does not have the pewter panel color.
The 1982 710 was sold as a complete bike and also a frame and fork.
Any ideas? Not legit.? Maybe a 614?
1982 brochure:
https://vintage-trek.com/TrekBrochure1982.htm
Ad photos
Brochure photo - 614
Brochure photo - 7xx