Hello Cherry
You can consider adding topical agents that contain salicylic acid or retinoid to your skincare regime and you should be able to see some improvement after 1 to 2 months. You may need a prescription from a doctor for the retinoids (Differin/ Retin - A).
I will also recommend doing a series of salicylic acid chemical peel for stubborn comedones. Do consult a doctor first to get a proper skin assessment before you start anything. Hope this helps!
Regards,
Dr Jiwei Wu