The range of the carbine is a function of trajectory and how you zero it - so theoretically you could zero your optics to lob bullets in at a 200 meter target, - but even then things are iffy because the bullet has lost and is losing a lot of energy, and your POI would be high off you POA for almost all other practical shooting of the weapon.
A lot of 9mm carbine shooters say their weapons are good out to 110 yards and then hits start to fall off. YMMV...
Theoretically you could get some extended range from lighter +P or +P+ rounds with higher velocities and flatter trajectories.
I've coon handled the Beretta RX and I don't like it. I don't like the sights, the LOP or the pistol grip on the CX4 Storm.
I also don't see the value in AR-type 9mm carbines that run $900+
These are not HK94 carbines we're talking about. A Ruger Police 9 or a Marlin Camp 9 ran a few hundred bucks and were great carbines, the AR types are not $500 better than either the Ruger or Marlin.