Are the impure chemical substances present in cleaning agents such as Tide, Clorox, and dish soap considered to affect the purity of clothes and kitchenware washed with them?

The default state of things is purity, and a ruling of impurity is not made except with certain conviction. Therefore, there is no harm in using materials unless it is known with certainty that they contain impure substances. If their impurity is known, then avoid using them for purification. An impure substance, if consumed by a pure substance such that no trace of it remains, or if it transforms into another substance, then its use is permissible. Dishes and clothes that were washed with something containing impurity become pure by washing them with purifying water.