There are several synonyms that can be used in place of the phrase "work day and night." These include "work around the clock," "burn the midnight oil," and "put in long hours." "Work tirelessly" can also be used to convey the same idea, as can "grind away" or "toil ceaselessly." Other options might include "never rest," "slog away," or "persevering through the night." Regardless of which synonym is chosen, the overall idea is one of a strong work ethic and an unwillingness to give up until a task is complete, even if it means working well beyond usual working hours.