You can incubate refrigerated eggs? How long can they be stored like this . . . I'm very intrigued by this information . . .
If you're storing eggs you want to hatch, they have to avoid freezing, and they cannot be kept at incubation temperature. Between those extremes, some temperatures are better than others ("better" being measured by how many of them hatch, and how long the eggs can be stored and still have a reasonable number hatch.)
Regrigerators may be a bit cooler than ideal, or maybe not, depending on the exact refrigerator and what temperature it is. Depending on what storage options are available, sometimes the refrigerator is better than the other choices.
Trying to hatch refrigerated eggs can happen by deliberate planning (the person collected eggs for hatching and put them in the fridge), or it can happen because something else goes wrong (the rooster or the whole flock got killed by a predator, so the person pulls eggs from the fridge to try to hatch replacements.)
Here are two articles that talk a bit about storage & development temperatures for eggs:
https://www.brinsea.com/t-eggstorage.aspx
https://www.brinsea.com/t-PowerOff.aspx?
For how long they can be stored, up to a week is usually fine for any storage temperature that is above freezing and below about 80 degrees. Some eggs and some temperatures can go longer than that.