Use an -ing clause for an action happening at the same time or as a result, a past participle clause for a passive meaning, and having plus a past participle for an earlier completed action. Make sure both parts of the sentence have the same understood subject.
Build a passive with a form of be and a past participle. Keep the tense in be: is being checked, has been checked, and should have been checked. With reporting verbs, use It is reported that ... or a subject pattern such as The route is reported to be safe.
Use had been plus an -ing verb for an activity that continued before another past event or time. For example, By 6 p.m., we had been waiting for an hour.
Pensive means quietly absorbed in thought, often with a serious or slightly sad expression. It can suggest worry or sadness, but you need the scene to understand the feeling.
Use persecute when someone is targeted with persistent harmful treatment. Use prosecute for the usual legal meaning of bringing or conducting a case against a person. The first verb is about the treatment of a target; the second is about a legal action.