2 of 4 two example sentences is provided.

“in the light of” vs “in light of”

I see that both phrases "in light of" and "in the light of" are used and people considering both to be correct. Look here and here. Also there is a large corpus supporting both phrases usages; you can consult here.

Question #1:

Though both seems to be correct in terms of being used in writings, which one is grammatically correct?

Question #2:

In there any difference in their meaning implications?

I am providing two examples:

  • I will be happy to look at to them and respond to you in the light of your comments.
  • Even in light of your comments, I still fail to understand what is the difference between A and B.