A business which exists in fact although not formally recognized is referred to as being:

Question

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"De facto" refers to a situation that exists in reality or fact, regardless of whether it is formally recognized by law or society. It is often used to describe a situation where a business is operating without proper legal recognition or documentation. "De jure" refers to a situation that is formally recognized by law or society. "De minimus" refers to something that is considered trivial or insignificant. "De legal" is not a commonly used term or phrase.

A Business Which Exists in Fact Although Not Formally Recognized