A fever, cold, and cough lasting many days in a young child are usually due to a lingering infection or a recurrent viral illness. Give plenty of fluids, keep her warm, use saline drops in her nose, and ensure proper rest to help with recovery. Offer light food, maintain hygiene, and watch for signs such as rapid breathing, poor feeding, or a high fever. If it lasts for many days or does not improve, consult a doctor to check the cause and guide proper treatment.

A cough and cold lasting a month can be due to an allergy, sinus issues, lingering infection, or irritation from dust or pollution. Drink warm fluids, do steam inhalation, avoid dust and cold exposure, and keep your throat warm to reduce symptoms. Maintain good hydration, rest well, and note whether it worsens at certain times or in certain places. If it is not improving or keeps recurring, consult a doctor to determine the cause and guide appropriate treatment.