garrett,
I said "may", because it is hard to predict how an individual's body will react (i.e. some folks will never develop a carved six pack no matter how many crunches/ab exercises they do - simply due to their physiology),
But, as an example, I run 3,4 or 6 mile stints at a 10 - 11 minute/mile pace (depending on how energetic I feel that day - so nothing real fast, but I throw in some interval sprinting) a 2-3 times a week (depending on weather or my travel schedule).
I eat a reasonable (nothing special, but stay in the "moderation" range), diet (I like a Guiness or two in the evening - and there are a few carbs in one of those).
I also do some moderate (20 minute workouts) strength/toning (not body building) training on the off-days. I usually take weekends off unless I have not been able to work out during the week.
I am over 50, and have been able to maintain a flat stomach, and 6' -3"/180# physique (not a runners' body, but "conditioned").
The key is to maintain good posture (head up, and back straight - like when you are sprinting), even at slow jogging paces - this causes you to suck in your gut. You can feel the tension in you abs if you are doing it right.
I run for mental health/stress relief - but the physical effects are welcome, as well.
I have friends that run with me, and it seems to work for them about as well.
Give it a try, it may work for you - and it will certainly make you feel better!!
Good Luck!