I used to by some of my meats already fully vacuum-packed and leave them in the fridge. I did not like them to be thus unexposed to the air for too long, so I always made sure to eat those within 10 days max, usually much less.
As a newbie to RVAF diets, I too got at first appalled at the thought of eating raw meats that were more than 2 or 3 days after sale, but one gets used to leaving them out for longer periods, over time, as one gets forgetful and leaves them in for longer in the fridge without realising etc.