The first phrase describes the "remnant" in the second phrase.
# they will find refuge in the name of Yahweh
Yahweh's protection of this remnant is spoke of as if he was a refuge or a fortress. Here "name of Yahweh" refers to his person. AT: "they will come to Yahweh and he will help them" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-metonymy]])