I wash mine with bleach only. I would think that if it was washed in bleach after soap it could still be used. But I dont know for sure
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I would say that the bleach would do the trick. Most detergents are mostly salt and phosphorus. The phosphorous is what makes your clothes white. I read this in a study on Laundary Detergent....
"When your detergent claims to offer brighter and whiter, you may want to rethink your decision. The "optical brighteners" found on the label of one detergent are actually synthetic, or man-made chemicals. They work by turning ultraviolet wavelengths into visible light that makes clothes appear whiter, yet does not really make them any cleaner.
Some of their bad effects are that they can cause bacterial mutations and are poisonous to fish."