"Be just" can be replaced by several synonyms that carry different connotations. For instance, "be fair", "be impartial" and "be equitable" all imply neutrality and lack of bias in any situation. "Be honorable", "be righteous" and "be ethical" indicate a higher standard of moral principles and integrity. "Be even-handed", "be unbiased" and "be objective" refer to a balanced approach to decision-making. "Be right", "be correct" and "be accurate" suggest an adherence to the truth and factual accuracy. Therefore, the choice of synonym would depend on the context and intended meaning of the speaker or writer.