I successfully lost weight while marathon training. I worked on a 500 cal deficit per day, so in very rough terms that's 2000 cals per day (2500 for blokes) plus whatever calories I used through running (for me that is about 550 cals per hour) minus 500.
So on days that you are running 15 miles that is 2500 (basic) +1500 (exercise) - 500 = 3500 cals very approx.
I cut back on simple carbs mainly and tried to eat more protein. If you cut back on protein then your body can't repair and build muscle so it is important that you continue to eat meat, fish, eggs, pulses etc. Protein and fat are the things that tells your body that it is full so eating more protein and not reducing your fat intake can help reduce the amount you eat over all.
Complex carbs are still good as they give you the energy to run but most people eat too much of them. Don't cut out any food group completely but sugary foods should be reduced significantly and be careful about carb loading