Ok, so LE blackfire has Pulse wave and battle fury at the same time. Battle fury states the you can't make a ranged attack, Pulse wave is a ranged action (but it is stated as an "attack" as well). How is this combo possible?

Where'd you see that? The website shows her as having battle fury on the click before she gets Pulse Wave.

She doesn't have battle fury on the last two clicks. Only click 5 has battle fury. She was originaly posted wrong on the wizkids site and later corrected. I would assume that whoever posted her stats on hc realms did so before she was corrected on wizkids site.

yes, that is an incorrect dial. She's just fine in real life.