The antonyms for the phrase "kept distance" include phrases like "closed proximity," "welcomed closeness," and "embraced nearness." These phrases imply a willingness to connect, interact, and engage with others. While "kept distance" suggests an intentional effort to maintain a safe distance, these antonyms imply a desire to break down barriers and build connections. It is important to note that there are instances where keeping a distance may be appropriate, such as during a pandemic, but in general, building close relationships can lead to positive outcomes like increased happiness and a stronger sense of community.