L-carnitine and chromium picolinate with phentermine?

[phatpnai]

Just to let you know, a doctor did prescribe me the phentermine and they have recommended that I take chromium picolinate to minimize my cravings for sweet foods.
I have lost weight on this pill and have learned to make more healthier choices food wise and am trying to incorporate workout in my activities, though more often than not I procrastinate.
A friend has mentioned that she is taking L-carnitine and that has helped her lose weight too.
My questioin is, can I take ALL 3 of them together?

[tinmuning]

I checked with the drugs interaction checker and there's no adverse reaction when these 3 drugs are combined.