actively

The detective is actively investigating new leads to solve the cold case from ten years ago.

(Chinese) 探员正在积极调查新线索，试图破解十年前的一桩悬案。

Even after retirement, the professor remained actively involved in academic research and mentoring.

(Chinese) 即便在退休后，这位教授依然积极参与学术研究和学生指导。