First, no apple core is going to last 2 months at my place. In my compost heap it will disappear faster than that. If it's on top of the heap, it will get eaten by somebody long before that. Possibly my plump scavenger dog who is always sure he is starving, but if not him somebody.
Second, except in the dead of winter, every couple weeks when I'm walking my dogs I take along a bag and pick up discarded cans. In the spring, after a couple months buried under the snow, the cans are already rusting away. So I find it hard to believe they last 200 years.
Third, my $%*&($! neighbor apparently was curious about where I buried my elderly horse this past February. I found a cigarette butt dropped on the path to my manure pile/compost heap 2 weeks later, where he apparently was trying to get a better view. That butt has long since disappeared.
Fortunately, recycling is mandatory in my neck of the woods, because I do believe that plastic lasts for freaking ever. 
Reduce. Re-use. Recycle. In that order.
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