Ordinary building and cleanout debris is welcome. The limits come from the state ban list and from what the receiving site will take.
North Carolina publishes a long list of materials that cannot be landfilled anywhere in the state. The Department of Environmental Quality keeps the official list, and it covers used oil and oil filters, antifreeze, aluminum cans, plastic bottles, wooden pallets, oyster shells, yard trash, and lead-acid batteries. Whole scrap tires are banned as well.
White goods are on the list too, which matters on a flood job. Refrigerators, ranges, freezers, washers, dryers, water heaters, and window air conditioners all have to be pulled out of the load and handled separately.
Electronics are banned as well. Televisions, monitors, laptops, desktops, printers, and scanners cannot go to a landfill, so a student-housing cleanout needs a separate pile for them.
Hazardous waste, liquids, paint, solvents, fuel, and asbestos stay out of any container, whatever the facility. If something on your job falls in a gray area, your account manager will sort it out before the load is rejected at the gate.