1. I found it necessary that we should try to memorize the passage.

2. I found it necessary to memorize the passage.

3. I made it a rule that I have to brush teeth after eating.
4. I made it a rule to brush teeth after eating.

5. I believe it true that I can become promising.
6. I believe it true to become promising.

7. I thought it unclean that I don't wash frequently.
8. I thought it unclean not to wash frequently.

9. He guesses it great that he speaks two foreign languages fluently.
10. He guesses it great to speak two foreign languages fluently.
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I made some other sentences containing formal objects and real objects. Would you check them and correct some unnatural expressions? Thank you.

1, 2, and 5 are OK as they are.

3 and 4 -- I'd include "my" before "teeth" -- or if you are brushing a child's teeth (for example), you should indicate so with a possessive: her, his, Jan's, or whatever is appropriate.

6 seems incomplete -- it's not clear who is to become promising.

7 and 8 would be better if "unclean" were replaced with "bad" or "unacceptable" or similar word.

9 and 10 are very awkward. Better would be this:
He believes that speaking two foreign languages fluently is a great accomplishment.

Thank you. My corrections are as follows based on your instructions.

1. I found it necessary that we should try to memorize the passage.
2. I found it necessary to memorize the passage.

3. I made it a rule that I have to brush my teeth after eating.
4. I made it a rule to brush my teeth after eating.

5. I believe it true that I can become promising.
6. I believe it true for me to become promising.

7. I thought it bad that I don't wash frequently.
8. I thought it bad not to wash frequently.

9. He guesses it happy that he speaks two foreign languages fluently.
10. He guesses it happy to speak two foreign languages fluently.

All are fine except 9 and 10.

The words "guesses" and "happy" seem out of place here.

He believes it ...

and maybe one of these: effective, fortunate, productive ...

Thank you. More corrections are here.

1. I found it necessary that we should try to memorize the passage.
2. I found it necessary to memorize the passage.

3. I made it a rule that I have to brush my teeth after eating.
4. I made it a rule to brush my teeth after eating.

5. I believe it true that I can become promising.
6. I believe it true for me to become promising.

7. I thought it bad that I don't wash frequently.
8. I thought it bad not to wash frequently.

9. He guesses it fortunate that he speaks two foreign languages fluently.
10. He guesses it fortunate to speak two foreign languages fluently.

11. He believes it happy that he speaks two foreign languages fluently.
12. He believes it happy to speak two foreign languages fluently.

2, 4, 5, 8 -- these are fine.

The others are strange. They are not grammatically incorrect, but the word choices are off.

Let's analyze the sentences you provided and identify any potential issues:

1. I found it necessary that we should try to memorize the passage.
This sentence is grammatically correct. "I found it necessary" is an example of a formal object.

2. I found it necessary to memorize the passage.
This sentence is also grammatically correct. It is a simplified version of sentence 1, removing the need to include "should try" after "necessary."

3. I made it a rule that I have to brush teeth after eating.
This sentence is grammatically correct. "I made it a rule" serves as a formal object indicating that you have established a rule.

4. I made it a rule to brush teeth after eating.
This sentence is also grammatically correct. Its structure is similar to sentence 3, but it uses the infinitive form "to brush" instead of "that I have to brush."

5. I believe it true that I can become promising.
This sentence is grammatically correct. "I believe it true" acts as a formal object expressing your belief.

6. I believe it true to become promising.
This sentence seems to be missing a verb or a connecting word. A possible correction could be "I believe it is true to become promising."

7. I thought it unclean that I don't wash frequently.
This sentence is grammatically correct. "I thought it unclean" functions as a formal object conveying your opinion.

8. I thought it unclean not to wash frequently.
This sentence is also grammatically correct. Similarly to sentence 7, it uses the infinitive form "not to wash" instead of "that I don't wash."

9. He guesses it great that he speaks two foreign languages fluently.
This sentence is grammatically correct. "He guesses it great" serves as a formal object indicating his assumption.

10. He guesses it great to speak two foreign languages fluently.
This sentence is also grammatically correct. It is a simplified version of sentence 9, using the infinitive form "to speak."

Overall, the majority of your sentences are grammatically correct. The only potential issue is sentence 6, which may require the addition of a verb or connecting word.