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I thought I know what is going on with "to be said + to + infinitive" constructions.
I thought that constructing this construcions is at the following rules:
when we talk about present, we should to add "to + infinitive"
when we talk about future, we should to add "have + past participle"
and we should to add "to be" + verb with "-ing", when we talk about Present Continous tenses
or
to have been + verb with "-ing", when we talk about Past Continous tenses.

Meanwhile, I faced with examples where these rules are to me nohow, and I have a total mess in my brain. So, please help me with complete examples below:

PS. do you know good rules to create this construction?

1. People say he has written a lot
He is said to ............................
2. People say he wrote a lot.
He is said to .................................
3. People said he writes a lot
He was said to...(ja spotkałam have written a przecież tu w zdaniu wyżej jest użyty czasownik write w czasie ter. prostym ????).........................
4. People said he wrote a lot
He was said to..( a tu spotkałam write a przecież zdanie jest w czasie przeszłym prostym???)........................
5. People said he had written a lot
He was said to................................
6. People said he had been writing a lot.
He was said to.................................
7. People believe that Norma is living abroad
Norma is believed to................................
8. People believe that Norma was living abroad
Norma is believed to...............................
9. People believed that Norma is living abroad
Norma was believed to.....................................
10. People believed that Norma was living abroad
Norma was believed to.............................
11. People expect that he will pass his driving test
He is expected to.................................
12. People expect that he will be passing his driving test.
He is expected to......................................
13. People expect that he will have passed his driving test by next Friday
14. He is expected to.....................................
15. People expected that he would pass his driving test
He was expected to..................................
16. People expected thet he would be passing his driving test
He was expected to......................................
17. People expected that he would have passed his driving test
He was expected to....
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Let us see your efforts at filling in all these gaps first, please.
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OK, i undestrand. Good tactic. Give me some time.

He is said to write a lot.