It means “for this purpose”. It’s a temporary position created for a specific purpose. An Ad-hoc is specifically hired to argue a particular key point in which the person is expert.
The internal affairs doctrine is a choice of law rule in corporation's law. , stated, it provides that the corporate statutes will govern the "internal affairs" of a corporation.
The simple meaning of the word cease is to come to an end gradually or to stop or discontinue.
To state something is true in answering a complaint filed in a lawsuit.