Sentence 1: I am still a little fogged as to how exactly the bromide business was done, I remarked.

Sentence 2: I understand quite clearly the exact manner in which the business of the bromide was done.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Through 21 organizations, including the Veterans Health Administration and the Veterans Benefits Administration, VA ensures that veterans receive medical care, benefits, and social support.

Sentence 2: All veterans get medical care due to VBA and VHA funding.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: What had happened, how this had sprung up out of nothing, the Kentuckian could not understand.

Sentence 2: The Kentuckian couldn't understand what had happened.
Is this second sentence entailed by the first?

Answer:
yes