There are 2 separate issues.
The rifles made 1946-2006 had a flawed trigger design. Any of those rifles could discharge with no trigger pull if internal parts of the trigger happened to line up in just the right way. It was very random and nearly impossible to duplicate. It USUALLY happenes when the safety was moved from the "SAFE" position to the "FIRE" position. Rifles made after 1989 no longer locked the bolt handle down. This allows you to open the bolt with the safety in the "SAFE" position. This did reduce the number of incidents, but didn't really address the problem.
While handling the gun the sear would release and the safety was the only thing holding back the firing pin. As soon as the safety is moved the gun discharges. Less common was for the gun to discharge as you start to lift the bolt handle to eject a live round or as you close it on a live round.
Remington was sued over 100 times for this going back to the 1960's and this is the real reason Remington is dead today. All of those lawsuits were settled before going to trial and non-disclosure statements were signed. This allowed Remington to keep things quiet. At least until the internet. All of those hundreds of millions paid out over the years did not go towards building quality rifles and directly led to their downfall.
There was a class action lawsuit a few years back that required Remingtton to replace the trigger on any 700, 721, 722, 725, or model 7 rifle made prior to October 2006 if you return the rifle to Remington. This isn't considered a recall, BTW.
Remington started putting a redesigned trigger in the 700 and 7 rifles in October of 2006. BUT.... due to a manufacturing error some of those rifles got adhesive dripped into the trigger as the rifles were being assembled. There is a 2nd recall for most of the rifles made between 2007 and 2014. Anything 2014-Present shouldn't have trigger issues. Other than the fact that the trigger isn't very good.
I don't know how Remington being sold effects these recalls. But I'd imagine the new ownership would honor this since it is dangerous liability they have bought.
That said. If I had a rifle effected by the recall, I'd just buy a replacement trigger. I put a Timney in mine. It isn't expensive and anyone can do the job in 20 minutes. After doing one you could probably do it in 10 minutes. If you send them to Remington, they will replace the trigger with the crappy new factory trigger, and it takes months to get your rifle back. This is a good excuse to upgrade.
