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9 Then the LORD said to Moses, ‘I am going to come to you in a dense cloud, in order that the people may hear when I speak with you and so trust you ever after.’ When Moses had told the words of the people to the LORD, 10the LORD said to Moses: ‘Go to the people and consecrate them today and tomorrow. Have them wash their clothes 11and prepare for the third day, because on the third day the LORD will come down upon Mount Sinai in the sight of all the people. 12You shall set limits for the people all around, saying, “Be careful not to go up the mountain or to touch the edge of it. Any who touch the mountain shall be put to death. 13No hand shall touch them, but they shall be stoned or shot with arrows; whether animal or human being, they shall not live.” When the trumpet sounds a long blast, they may go up on the mountain.’ 14So Moses went down from the mountain to the people. He consecrated the people, and they washed their clothes. 15And he said to the people, ‘Prepare for the third day; do not go near a woman.’
During "certain times of the month" a woman had to move out and stay away until she was "clean" again. Maybe they weren't so stupid after all ...