Here's what we know:
* Time passed between movies: There is a noticeable time gap between Open Season 1 and 2, with Boog and Elliot's bond being much stronger and Elliot showing signs of maturity.
* No direct confirmation: The filmmakers haven't explicitly stated how much time passes between Open Season 2 and 3.
* Visual cues: While there might be subtle visual cues suggesting a slight age difference, it's not significant enough to confirm any substantial aging.
In conclusion: While it's possible that Boog and Elliot are slightly older in Open Season 3, there's no official confirmation. It's safe to assume they are about the same age as in the previous films.