Patients with liver cancer may not necessarily have elevated carcinoembryonic antigen (CEA) levels in the early stages. CEA, a commonly used tumor marker, tends to increase in various types of malignancies. However, an elevation in CEA is not necessarily linked to the occurrence of malignant tumors. Many patients with early-stage tumors, including liver cancer, may not have elevated CEA levels at diagnosis. Conversely, elevated CEA levels in some patients may be due to benign conditions and not necessarily indicate malignancy. Therefore, it is unreasonable to determine the presence of liver cancer solely based on the elevation of CEA.