The lymphatic system is a crucial component of both the circulatory and immune systems, responsible for transporting lymph fluid towards the heart and filtering it through various structures, including lymph nodes and the spleen. Key organs involved include the thymus, which activates T-lymphocytes, and Peyer's patches in the intestine that capture bacteria. Disorders affecting the lymphatic system, such as Hodgkin's lymphoma and lymphedema, can result in significant health complications.