It there is slack in the hoses so you can pull them together without too much tension, just look for a hose repair coupling (not plastic) with the correct inside diameter. That said, I would look at just replacing the entire hose, the hose on the inlet side looks a bit aged.
Normally the pipe fitting on the exhaust is 1.25" pipe, which the outside diameter corresponds to 1.625" exhaust hose, but every boat is different. Last I checked non-wire 1.625 exhaust hose at WM is about $10 a foot. Expensive, but IMO for peace-of-mind... priceless.
That said you can alway spend more and get the wire version of exhaust hose.