If the reporting and the reported actionA general term expressing that somebody or something does something happen at the same time, we use simple or continuousThe aspect expressing duration, formed with be + verb-ing. E.g.: What are you doing? infinitives.

This football coach is said to be strict but fair. (= They say this football coach is strict but fair.)

Vincent is thought to be living in Paris at the moment. (= They think Vincent is living in Paris at the moment.)

Paul was thought to be in the house. (= They thought Paul was in the house.)

Vincent was thought to be staying in Paris at that time. (= They thought Vincent was staying in Paris at that time.)

This painting is believed to be owned by Mr Wilkins. (= They believe  the painting is owned by Mr Wilkins. / They believe Mr Wilkins owns the painting.)

The painting is said to be being restored presently. (rarely used) (= They say the painting is being restored presently. / They believe that the experts are restoring the painting presently.)

The axe was believed to be made of mithril. (= The dwarves believed that the axe was made of mithril.)

The spy’s phone was believed to be being tapped. (rarely used) (= The CIA believed that the spy’s phone was being tapped. / The CIA believed that someone was tapping the spy’s phone.)

Diagrams

Indirect speech with passive voice
Indirect speech with passive voice Reporting an earlier event with passive voice