The term "did take off" can be considered as a synonym for various phrases and expressions, such as "accelerated," "ascended," "soared," "lifted off," and "became popular." These synonyms convey the idea of growth, advancement, and success. "Accelerated" is often used in the context of technology advancements. "Ascended" represents an increase or rise to a higher level. "Soared" is used to describe physical attributes such as an eagle soaring in the sky. "Lifted off" is used mainly in the aviation industry, while "became popular" is used in the context of social media or entertainment. All in all, these synonyms help to convey the same meaning but in different contexts.