"Keep pursuing" is correct and usable in written English.
You could use this phrase to encourage someone to continue striving for a goal, for instance, "Keep pursuing your dreams - you can do it!".
Keep pursuing the truth you need to gain relief.
Keep pursuing your own interests.
"We keep pursuing son of, son of P.S.A".
New Century will keep pursuing the contracts, Mr. Weissbrod said.
But if they keep pursuing incremental steps, they may yet build a peace.
But I believe that Mueller will keep pursuing this line of inquiry.
Outside the courtroom, Sylvia Mort, who vowed to keep pursuing the death penalty, said of the sentence, "It's a beginning".
In the end, Mount Sinai decided to keep pursuing permission for Ms. Jean to enter the United States.
"Now, we can keep pursuing this mission and vision for our product with all this new wind behind our sails".
But other regulators said they wanted instead to keep pursuing a test of the new regulatory framework.
But the most consistent and productive reforms are the ones that choose a direction and keep pursuing it doggedly.
