You can refrigerate them for up to 5 days as long as they are stored properly — wrapped in a paper towel and then sealed inside a plastic bag. Fresh Beans/Peas: Depending on the variety, they can be kept, tightly wrapped, in the refrigerator for 3-5 days.ooked shrimp can be refrigerated for up to 3 days. Flour: Can be stored for up to 6 months at room temperature because higher temperatures create a hospitable environment to bugs and mold. (It’s not a bad idea to store it inside a plastic bag just to be safe in case you forget to throw it out in time.).