The phrase "I also recently" is correct and can be used in written English.
For example: "I recently completed a marathon, and I also recently opened a new business."
I also recently recruited Abe as a ringer to the Times Magazine's recent walloping of New York magazine in our annual softball grudge match.
I also recently bought a typewriter.
I also recently re-read Beatrix Potter — a comic genius.
I also recently learned that my sister's stepson and BJ were best friends growing up.
I also recently finished "Major Pettigrew's Last Stand," by Helen Simonson.
I also recently watched a BBC video, "Our Secret Universe: The Hidden Life of a Cell".
And I also recently read this book called "The Wave," by Susan Casey.
As for Bharara, whom I also recently profiled, the charges represent the chance for sweet vindication.
I also recently read The Summer Book by Tove Jansson, which is quite strange.
I also recently purchased DVDs of "Meat" and "Department Store," by the documentarian Frederick Wiseman.
I also recently did a three month AI (artificial intelligence) course at Stanford University.
