The phrase "already prosecuting" is correct and usable in written English.
It can be used in legal contexts to indicate that legal action is currently underway against someone or something.
Example: "The district attorney confirmed that they are already prosecuting the case against the suspect."
Alternatives: "currently pursuing" or "in the process of prosecuting".
Mr. Monroe has phonia against law-breaking, and imagines they are already prosecuting them.
The lists released this week also identify those inmates the US does intend to prosecute or is already prosecuting.
Part of the problem was that Obama's White House and his lawyers were already prosecuting a war against ISIS, without a new authorization, and argued that they did not need one.
"And they allow the FN and Marine Le Pen to say, 'I told you so, we've been talking about this threat for years but nobody listened, so give us your vote.'" Le Pen was already prosecuting some anti-Europe, anti-Islam themes during a brief conference at the FN's headquarters on Saturday, hours after the attacks that left at least 128 dead and hundreds injured.
Moreover, the Crown Prosecution Service can already prosecute cases of forced marriage under existing criminal offences including rape, kidnap and assault.
That provision blocks most cases involving conduct already prosecuted by another state or the federal government.
Just 17 months into his administration, President Obama had already prosecuted more alleged leakers than any of his predecessors.
The Obama administration has already prosecuted six leak-related cases, twice as many as were brought under all previous presidents combined.
Senator Orrin G. Hatch, Republican of Utah, said, "There is no need to federalize these crimes" because they are already prosecuted under state laws.
The S.E.C. also worries about the potential for fraud, but it can already prosecute any hedge fund, whether registered or not, for violation of antifraud laws.
He points to cases where the attorney general's office has already prosecuted drug dealers in cases of fatal overdoses under "death resulting" charges.
