Yes you can, I'm here right now after hours and the large recycling bins are all accessible including single-stream recycling, shredded and other office paper and corrugated cardboard. You can even recycle plastic lawn toys. I don't see any signs with closing hours and no gates on the road to the recycling bin and no locks on the bins themselves. I think they're open 24/7.
Probably not, they need to weigh it
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