If the scratches on Cartier ring with silver cloth are shallow, it is easy to remove the shallow scratches by wiping with silver cloth, but this method can not completely remove the scratches on the ring.
Apply toothpaste. Apply a proper amount of toothpaste to the scratch of the ring, and slowly clean the friction with toothpaste to eliminate shallow scratches. However, if the scratch on the ring is deep, it can't be wiped off with toothpaste. Suggest taking it to a jewelry store for repair.
In the case of deep scratches by polishing method, we can try to repair them by professional polishing. Professional jewelry maintenance master will polish the ring to eliminate and repair scratches.