Sentence 1: His gaze roved, looking for options.

Sentence 2: He was looking for options.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: and and and they don't want to have anymore children because they just don't think you know that she doesn't think she could be a mother at home that's not her bag so she just doesn't think she could you know the guilt feelings she can't deal with with it anymore so

Sentence 2: They don't want anymore children, since she doesn't want to be a stay-at-home mom.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Hanuman is a beneficent deity predating classical Hinduism, and the reason why no one would dream of harming the little lemurs (monkeys) running around here.

Sentence 2: Because of Hanuman, no one ever harms the little lemurs that run around here.
Is this second sentence entailed by the first?

Answer:
yes