I would not use "the".
Student or Learner
- As you know, after the midterm exam, we just studied the two novels named X and Y.
I would like to ask if I should put 'the' before 'two novels' or not. I think I should because I say 'as you know' at the begining of the sentence, which shows that we all know the names of the novels.
"As you know, after the midterm exam, we just studied the two novels named X and Y."
If I were going to omit a word, it would be "just". I can't see how it fits in.
Does it mean we have just studied these two novels, or the only thing we've done since midterm is study these two novels?
You could choose to leave out "the two novels", and just leave "we studied X and Y", because again, they already know that X and Y are novels, and that their number is two.
Of course, since, as you say, the students know this, you could probably omit the whole sentence.