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It should be read like this: +1 longsword (this is the weapon Koruvus is using in combat) +3 (this is his bonus to his attack roll) (d8+5) This is the damage dealt with a successful hit.
So if I understand you right the +1 is FYI only, and the +1 is already included in the +3 bonus.

Anetra |

The +1 is there for a couple reasons. Firstly, you'll need it if he goes up against damage reduction. Secondly, he's physically using that weapon; if the PCs use detect magic, they'll find that the longsword has a magical aura, possibly influencing their tactics and encouraging sunder or disarm attempts. Thirdly, it's good to know where the bonuses to AB and damage are coming from -- it helps you if you need to have him use a different weapon, or use a spell or ability that effects his AB/damage.

Allia Thren |

The +1 is there for a couple reasons. Firstly, you'll need it if he goes up against damage reduction. Secondly, he's physically using that weapon; if the PCs use detect magic, they'll find that the longsword has a magical aura, possibly influencing their tactics and encouraging sunder or disarm attempts. Thirdly, it's good to know where the bonuses to AB and damage are coming from -- it helps you if you need to have him use a different weapon, or use a spell or ability that effects his AB/damage.
And fourthly, and from the players perspective obviously the most important one: Once they kill him, you want to know what sword the players find on him :)