It sounds frustrating to have a cold and cough for 5 days without improvement despite taking levocetirizine (L Dio 1 Tablet) and azithromycin. Levocetirizine is an antihistamine mainly for allergies, so it may not directly relieve cold symptoms, and azithromycin is an antibiotic that won't help if your illness is viral, which is common in colds.

• Since symptoms have persisted for several days without improvement, it’s important to see a doctor, preferably a general physician or an ear, nose, and throat (ENT) specialist, to reassess your condition.
• They may check for complications like bacterial infection needing different treatment or other causes of your symptoms.
• Meanwhile, continue supportive care: rest, stay hydrated, use saline nasal sprays, and consider over-the-counter remedies for symptom relief.
• Avoid self-medicating further with antibiotics without medical advice, as inappropriate use can cause resistance and side effects.
• If you develop high fever, difficulty breathing, chest pain, or worsening symptoms, seek urgent medical attention.

Consulting a doctor will help tailor treatment based on your specific condition and ensure proper recovery. If you want, I can explain more about when antibiotics are needed or how to manage cold symptoms effectively.To narrow down potential causes, we will need some more information.Please tell me your age and gender.