Here "this Way" represents the people who belonged to the group called "the Way." The word "death" can be translated with the verb "kill." Alternate translation: "I persecuted the people who belonged to this Way and I looked for ways to kill them" (See: [[rc://en/ta/man/jit/figs-metonymy]] and [[rc://en/ta/man/jit/figs-abstractnouns]])