Just an after-thought. It appears that these chains are only put on the "drive" wheels, that would be the back wheels for a E46.
That helps the rear wheels, but what about the front wheels that you have Summer tires on. Am I wrong that that is not a good situation, not having at least all weather tires on the front, and even better winter tires on the front. But you cannot do that, having different tires on the front than the back is unsafe under normal driving conditions (without chains or with). Summer tires on the front axle would be the worse, slipping, side motion, lack to tracking--------and cannot be good even with these chains on the rear axle wheels. These chains look good, but I do not think I would be going through the winter without taking off the Summer tires (chains or no chains)