If i am taking 2mg of suboxone daily how long will it take to be out of my urine?

Few days but depends: Depending on how long you have been taking suboxone, we usually say it takes 5 half-life's to get it out of your system. The half-life for Suboxone (suprenorphine/naloxone) is 24-42hrs/2-12hrs. So at least a few days.

4 days on average : Depending on the rate your body metabolizes this medication, if concurrently using medications that interact, and depending on the specific urine testing method used, the window period for detection can be shorter or longer than this, usually no longer than 7 to 8 days.

Suboxone: Suboxone is a combination of buprenorphrine and naloxone. The half life of Suboxone is about 24-72 hours. Usually, it takes about five half life before medication is out of your body.