OFFICIAL EXPLANATION
Although John never means to do harm or hurt Jane, he sometimes reduces her to tears.
(A) Although John never means to do harm or hurt Jane, he sometimes
This answer choice is grammatically incorrect.
The verb do harm requires a preposition.
What helps us identify this question as a Split Construction question and identify the mistake is the following Stop Sign:
A split construction: Verb A + and/or + Verb B + object
(B) Although John never mean to harm or hurt Jane, he sometimes
While this answer choice corrects the original mistake, it creates a Subject Verb agreement mistake: the singular subject John does not agree with the plural verb mean. (C) Despite the fact that John never means to do harm to or hurt Jane, he sometimes
While this answer choice corrects the original mistake, it is stylistically flawed - redundant - as a result of replacing the single word Although with the four-word phrase Despite the fact that.(D) Although John never means to do harm to or hurt Jane, he sometimes
CORRECT!(E) Although John never means to do harm or hurt Jane, he
This answer choice repeats the original Split Construction mistake.
In addition, this answer choice changes the meaning of the sentence by omitting the word sometimes.