We discussed a similar question before:
From one of the linked threads:
"on peut toujours utiliser le subjonctif avec les verbes déclaratifs, d'opinion, de croyance... même en cas d'identité des sujets."
In another thread it is explained that using a subordinate clause rather than the infinitive allows for some subtleties:
"Je ne crois pas que je peux t'aider." (present) ← natural, but the indicative makes it sound a bit blunt
"Je ne crois pas que je puisse t'aider." (present subj.) ← most natural way to put it, the subjunctive making it sound as a polite, sorrowful statement
"Je ne crois pas pouvoir t'aider." (infinitive) ← least natural phrasing, more or less equivalent to the first in meaning, although not as blunt since the infinitive is always neutral (no implied emotion)
May I ask you to quote the lesson or exercise that you are concerned about?
Otherwise, this query looks like homework which we are not able to help with.
This isn't homework. I actually teach French and came across a point about which I wasn't certain when teaching the uses of the subjunctive vs. the infinitive (for 3rd semester university students). I thank you all!
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