Remington has a VERY adjustable trigger from the factory, especially in early models of rifles before the 'Lawyer Proof' triggers came out...
The 742 is a little more complicated, more like working on a shot gun trigger than a rifle trigger, but it can be done with relative ease.
This is just personal opinion,
But I would limit the amount of money I put into a 742 since Remington factory has discontinued ALL dealings with the 724 (some liability issue), and spare parts are scarce even with places like 'Gun Parts Inc.'...
Make sure you use a good lube in the guides/rails inside because if you don't, they will chatter and cause problems.
I have had two 742's, one in .308 and one in .30-06 and both shot very well, but both developed cycling problems and were very hard to fix.