Tricky. ONE time of marijuana stays detectable in urine about a week. Daily smoking and/or heavy smoking is detectable for more than a month. The amount you describe in general would be classified as moderate and would generally NOT be detectable after a month. And individual differences can affect it. If someone is obese the fat holds the marijuana. It dumps into the blood (and urine) with weight loss. If you metabolize it slowly due to cirrhosis or individual variation it might be detectable. It s possible but not likely.