Frontline did a documentary about this a while back. Your plastic fruit container may have "3" on it with the recycle symbol, which means it can go to a facility that can recycle that grade of plastic, but that doesn't mean your city / state has a facility that can process that, or will spend the money to build such a facility.
It was a move from the plastics industry to push a feel-good policy, but is likely not doing as much good as many of us think.
https://www.pbs.org/wgbh/frontline/documentary/plastic-wars/