Complex sentence: Na v 1.7, as well as Na v 1.3, Na v 1.8, and Na v 1.9, are the specific channels that have been implicated in pain signaling, and thus, the blockade of which are likely to underlie the analgesia of local anesthetics.
Split into simpler sentences: Na v 1.7, as well as Na v 1.3, Na v 1.8, and Na v 1.9, are the specific channels that have been implicated in pain signaling. Thus, the blockade of these channels are likely to underlie the analgesia of local anesthetics.