Men in concordant positive relationships with open agreements had three times the odds of engaging in UAIOUT as those with closed agreements (AOR: 3.36; 95% CI: 1.04, 10.84). However, the more invested men were in their agreement, regardless of type, the lower their odds of engaging in UAIOUT (AOR: 0.97; 95% CI: 0.94, 0.997).