Sinful actions which make people unacceptable to Yahweh are spoken of as if they were physically unclean actions. (See: [[rc://en/ta/man/jit/figs-metaphor]])
The phrase "their unclean actions" represents the people who commit sinful actions. Alternate translation: "in the presence of people who commit sinful actions" (See: [[rc://en/ta/man/jit/figs-metonymy]])