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Northstar
You can improve on it but that's the simplest way to do it. Check out this video and turn on subtitles to get a translationWhat I typically do is use a toothbrush to remove the dirt first and then use wet cloth to wipe it clean. Also detergent works too.
The title says: They turned so white that I keep asking if I bought new sneakers
Toothpaste: mild abrasive
Bicarb: mild abrasive
Detergent: surfactants
Works like magic when she does it