This phrase has bugged me for years. You CANNOT shop and save. I can save by NOT shopping. They should be saying what they mean: "shop and SPEND LESS than you would shopping elsewhere".
Next time you see a "shop and save" commercial, go to that place of business, grab some merchandise and ask for a fiver. That way you do indeed shop AND save. In fact there should be a law that forces them to do this....something about false advertising.