If there is a system that would allow the use of both together, I could assume that the agent that chose the Contingent/CAPA status may mean that the home is in contract, but they would like to accept other or backup offers. The correct status would then be CAPA, which means "can accept purchase agreement". There may be a stipulation in the existing contract that the seller can accept other offers with notice to the first buyer to remove his contingency. It's a guess.
CAPA does not apply just to short sales, although in today's market it is typical to see this status on many short sales that are waiting for the bank to respond after a seller has accepted. A good use for CAPA status is when a seller has accepted an offer that is contingent upon the sale of another home, and their current contract allows for a replacement contract if the buyer in first position can't remove the contingency.
Please keep in mind free sites like Zillow and Trulia are not very accurate with their listings, many times I am contacted by an interested party and the property is already under contract or even sold.
If you have real estate questions, I highly recommend you pick & work with a local Realtor. Most of the time there is no cost to the buyer when working with one, good to have a relationship. Kindly click on my profile to lean more about me, please read reviews written by past clients.
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Tierra Antigua Realty
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I have never seen them combined either. As the other agents have mentioned, both of these statuses state that the seller has accepted an offer and is waiting for all of the other contingencies(appraisal, home inspection, final loan approval) to be met. You can submit a backup offer; however, you will be in secondary position.