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Lymph nodes are part of the lymphatic system, where white blood cells (lymphocytes) mature and undergo clonal multiplication. The lymphocytes are important for fighting the infection and clearing the viruses and bacteria from the body. Hence during any infection it is common for the lymph nodes to increase in size and also become a bit tender (pain on application of pressure).
Symptoms like persistent fever, weight loss, night sweats along with multiple enlarged, painless lymph nodes may indicate conditions like lymphoma or cancer.
But since you do not have such symptoms and all investigations are normal so far, there should be no need to be concerned.
First and foremost since the antibiotics have not helped to reduce the lymph nodes, you may consult with your doctor for a few tests including a complete hemogram and peripheral blood smear.
Based on the findings, additional tests can be suggested by your doctor.