Augmented law's order weapon grind?

[Infindox]

How did you guys collect the souls of the dying so quickly? I've been in the Bozjan front area for about an hour and only have 3 of one kind.

Do you mean the yellow, blue and red ones? Fates in HW areas. It's way faster then going into Bozja to do it imo. They drop 100% of the time, so you only need 20 fates in each area (60 total) and there's usually other people doing fates in those areas.
The Bitter Memories (the green, after the fate step) is the one that's faster in Bozja, where going into a cluster farm gets you it pretty fast, though running 6 synced dungeons isn't the worst.