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Lawyer's analysis
It's not necessary.
The labor contract does not necessarily need to be signed by the legal representative, but can also be signed by the entrusted agent of the legal representative. Whether it is signed by the legal representative or the entrusted agent, the key to determine whether the labor contract is valid is whether it is stamped with the official seal.
legal ground
Article 16 of the Labor Contract Law
A labor contract shall be reached through consultation between the employer and the employee, and shall come into effect after the text of the labor contract is signed or sealed by the employer and the employee. The text of the labor contract is held by the employer and the employee respectively.