What term means to advertise in strongly positive terms?

The term that means to advertise in strongly positive terms is "tout." This verb conveys the action of promoting or praising something enthusiastically and often with the intention of persuading others to support or buy into it. Touting typically involves highlighting the best features or benefits of a product, service, or idea, which aligns well with the notion of favorable advertising.

In contrast, the other choices focus on negative or critical connotations. For instance, to "denounce" means to publicly declare something as wrong or evil, while "critique" refers to providing a detailed analysis or evaluation that may not always be positive. "Disparage" means to belittle or speak of something in a way that shows a lack of respect, further emphasizing a negative viewpoint. Therefore, "tout" is the word that accurately captures the idea of promoting something in an overwhelmingly positive light.