It's called a "joint venture" and generally reflects a temporary arrangement; e.g. building a mall, between two legal entities. As you already have the documentation necessary to verify the existence of each, you need duplicate resolutions authorizing the same signatories from each entity; e.g. if they want to add or remove signatories, you need a resolution from each.
Neither is expected to die. "Tenancy in common" refers to their proportional ownership of the deposit.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.