Do bane and furious stack

[Kallahan11]

Furious reads: A furious weapon serves as a focus for its wielder’s anger. When the wielder is raging or under the effect of a rage spell, the weapon’s enhancement bonus is +2 better than normal.

Bane reads: A bane weapon excels against certain foes. Against a designated foe, the weapon's enhancement bonus is +2 better than its actual bonus. It also deals an extra 2d6 points of damage against the foe.

Say we have a +1 greatsword, does Furious make the weapons "actual bonus" +3 and then bane makes it +5 or is the actual bonus only the base bonus of +1 (Then they wouldn't stack as furious only works on it's normal bonus not temporary enhancements.)

[Cheapy]

Yes.

[UltimaGabe]

Signs seem to point to yes. They both use the same wording, but neither provides a bonus, and they're from different sources, so I suppose so.