After ripening the fruit, if you do not want to consume the fruit right away you should be placing it in the refrigerator. This will keep the avocados fresh for 1-3 days. Refrigerating also slows down the ripening process so there is no chance of the fruit becoming softer than its current state. If the avocado is cut then you can tightly wrap it in a foil and store it in the refrigerator. This will ensure that no air seeps in and oxidizes the fruit.