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2.2 pounds only if it is one liter of fresh water (mass = 1kg). Liters are units of volume.
A liter of mercury will weigh considerably more than a liter of water. A liter of grandma's best turkey gravy will weigh somewhere in between. That said, a liter (1000 ml) of water will weigh 1000 grams, or 1 kilogram, (approx 2 and 3 oz).