Clean the dirt from your aluminum furniture, using mild soap, water and a sponge. Let the furniture dry.
Mix 1 quart of white vinegar with 1 quart of water in a bucket. Use the sponge to rub away any light oxidation from the surface of your aluminum-coated furniture.
Apply a quarter-size amount of fine-cut automotive rubbing compound designed for use on aluminum onto a terry cloth rag. Rub the compound in a circular motion over areas with medium oxidation. Let the compound dry, then wipe it from the surface of the furniture, using a clean terry cloth towel or microfiber cloth.
Add dishwashing soap to a bucket of water. Use super-fine steel wool dipped in the soapy water to clean areas of heavy oxidation.
Rinse the furniture with clean water once the oxidation is removed.