I feel the same with my friends from school but the reason we feel like that is that school forced us to be together and a deep friendship was forged as a result.

In adulthood, that forcing function doesn't exist so you have to make the effort. So regardless of whether or not it "feels natural" to go "friend-hunting" (it doesn't to me either), if you don't do it, you will be without friends.

It's also worth framing it to yourself differently. Friend hunting sounds awful and fake but organising fun/activities for similarly minded people seems more positive

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