Commentaries:
Jamieson, Fausset, and Brown
cover their lips—The Orientals prided themselves on the moustache and beard ("upper lip," Margin). To cover it, therefore, was a token of shame and sorrow (Leviticus 13:45; Ezekiel 24:17, Ezekiel 24:22). "They shall be so ashamed of themselves as not to dare to open their mouths or boast of the name of prophet" [CALVIN].
there is no answer of God—They shall no more profess to have responses from God, being struck dumb with calamities (Micah 3:6).
Other Jamieson, Fausset, and Brown entries containing Micah 3:7:
Ezekiel 24:17
Amos 8:11
Micah 3:1
Micah 3:8
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