Here's why:
* "Elucidated" implies explanation. Elucidating means to make something clear or understandable. Silence doesn't explain anything.
* "Silence" cannot be used as a means of elucidation. Silence is the absence of speech or sound, not a method of communication or explanation.
Here are some ways to correct the sentence:
* "He remained silent on this matter." (Simple and clear)
* "He declined to comment on this matter." (Implies a conscious choice)
* "He refused to clarify his position on this matter." (More directly states his reluctance to explain)
The best way to correct the sentence will depend on the specific context and the intended meaning.