Let's not forget capacity, some lever guns can hold double the ammo of a bolt gun. Not usually a hunting issue, but might enter into the equation for a multi purpose rifle.
Each has their own strength. Bolt guns are more accurate, stronger, and chambered for more powerful cartridges, while lever guns are quicker to reload, hold more shells, and at least to my mind, handle better, but that is subjective.
In brush country, I would rather have a lever action, in open country I'd take a bolt action. All depends on the situation. Hope this helps.
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With my shield or on it...