Would this make people feel jealous?

If there was a girl/guy your partner used to have a thing with, even if they never had a relationship. In this instance, it was a while ago, but they really liked each other but then my boyfriend dated someone else/then she did/then they were both single but she changed her mind so it fizzled out. Then out of the blue, she sends him a text asking how he is, and then suddenly they are texting a lot every day, and he says he might see her, he had never mentioned before that they were texting. Would people initially feel jealous about this?

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