Form and rules
How it works
Use It + passive reporting verb + that-clause: It is believed that the market is recovering.
Use subject + passive reporting verb + to-infinitive: The market is believed to be recovering.
Use to have + past participle when the reported event happened before the reporting viewpoint.
Use continuous or perfect-continuous infinitives when aspect matters: is thought to be working / is believed to have been working.
These structures report information without fully identifying or endorsing the source, so they are common in formal and journalistic English.