@Michael Benucci
To further clarify, Janeway's virus less wiped them out all at once and more set them on a slow death roll they couldn't seem to recover from on their own. It's indicated that while they were notably less active in the 2380s (when LD and PRO are set) but still around and causing the occasional trouble, as indicated by PIC's "Artifact" Borg cube, which was active and assimilating as normal until around the same decade when unrelated causes stopped it.
By 2401, it seemed the Borg's condition because of the virus had reached a critical state and the Collective on the verge of collapse entirely, hence Queenie's very last ditch plan in the PIC season 3 finale so to try and turn it around again last second (and probably why her plan was so half-baked, it has more holes than swiss cheese). When Picard and gang instead blew away Queenie's personal cube, it was strongly indicated that this was probably the straw that'd break the camel's back for the Borg, suggesting the Borg, as we knew them at least, are done for henceforth.
It's also worth noting that events such as the Borg's brief war with Species 8472 and the "civil war" of sorts that erupted within the Collective as a result of the Unimatrix Zero incident, along with the repercussions of the Borg's various losses against the Federation, had all already left the Borg vulnerable enough for the effects of the virus (and all that followed) to strike an especially hard blow they weren't prepared for.
But as @Fandyllic already pointed out, that doesn't mean Trek wouldn't do something to bring them back anyway out of nostalgia. They already pulled that with Q, so can't rule out the Borg too, since they seem to be everybody's favorite baddies and Trek can't seem to be bothered to come up with a new one instead...that's what I'd rather they do, come up with someone or something new, but I can't deny the obvious trend there nonetheless.
Until such a point though, the only Borg known to still be active (there are a few outliers out there that might still be active, as they were already not really mainstream Borg anymore and thus may have been spared the virus and other woes, but we can't know for sure) is Jurati's group of "Cooperative" Borg...which I hope Trek will explore plenty more of in the future because there's just oodles of story potential there, but as already pointed out, they're technically fully separate from the "mainstream" Borg, for complicated reasons I won't get into here.
Although, it IS worth noting that the Borg have had no mention of still being present or around in the 32nd century, or at least not seen as any threat to be worrying about, so maybe they really WILL be gone for good by then...or at least not so much "gone" but rather changed so they are no longer such a threat. Which I'd be game for, as I think it's time to do something a bit different with the Borg as a concept, but that's another topic.