In the West, there are many public laundry places in which Muslims and non-Muslims wash their clothes. Is it…

Answer

There is no problem in praying in those clothes that were pure before washing them [in such facilities] as long as you are not aware that they have become impure. [In other words, what goes in the public washing machine as pure comes out as pure unless you are sure that it has become impure.] Similarly, [you can pray in] the impure clothes [that were washed in the public laundry machines] provided that you are reassured: that the impure element, if any, has been washed away; that the pure water covered the entire impure area twice (if it had become impure by urine and even if the water was connected to kurr source as an obligatory precaution) or just once (if it had become impure by other elements); and that the water was removed from the clothes by wringing or other similar method [i.e., spinning of the machine] if it was qalil. However, if you are not sure and just have conjecture that the garment has been purified as per religious requirement, the previously impure garment will still be considered impure and praying in it would not be valid.