The Remington 742/7400 Magazines/followers are designed around the "parent" cartridge case ... i.e., - 243, 308, 358 and derivitives, all based on the .308 "parent case" - 25-06, 270, 280, 30-06, 35 Whelen, all based on the 30-06 "parent case. Correct re: 7mm Exp.being the .280. Remington never chambered the 742/7400 for any of the belted magnum cases so far as I know.
A CLEAN, shiny, smooth chamber wthout bumps, burrs, nicks and dings is an absolute must, and you'll need to keep the rest of the mechanism clean, with only a bare minimum of lubrication. Over-oiling is a no-no. I just cringe when I see some guys aim the nozzle of a can of WD-40 into the action and soak everything down, letting it "drip dry" UGH !!! I've also seen a couple of 742/7400's in November so "frozen" from over-lubrication that when the trigger was pulled, the hammer wouldn't fall !
Taking the magazine and smartly rapping it into place with the palm of your
hand will also enevitably bend the magazine lips to the point where feeding will become a problem ( "jamming" ) ... it's only neccessary to gently push the magazine into place until you haer it "click". Leaving the magazine full of cartridges in the off-season keeps the spring under considerable compression.
It will eventually become so lazy that feeding problems will ensue as well. Pocket
lint, sand, dirt, dried leaves and other assorted crud needs be cleaned out of the magazine as well. Ask someone at camp for their spare clip and depress it a few times ... you wouldn't beleive the crunchy scratchy noises they can generate !
Although not a fan of the " Jam-o'-matics ", the one and only 742 I had in .308 never skipped a beat. Fed it ONLY Remington .308 - 180 soft points ( not pointed soft points ) ... and kept it clean ! Trusted it about as much as a Chippendale arounbd my best girl though - so eventually moved it for a 7600 in 35 Whelan. The subsequent owner ( an associate from work) has had it for some 15 years now, uses it every year in deer season. Reports it has never let him down either, so I'm still a good guy in his books !