Sentence 1: right but they're back together

Sentence 2: Correct, but they're together again.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: right but uh i'm i'm looking forward to the season i think it's going to be fun yeah

Sentence 2: This is going to be a long, grueling season.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: The situation stabilized with Vespasian, and the second century A.D. is often considered the golden age of the empire (Gibbon himself says that the time of Marcus Aurelius--late second century--was the best time to live of all in history).

Sentence 2: Before the start of the second century, the empire was struggling.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell