A replacement for the traditional, "Keep in touch" routine when leaving a conversation. Unlike Keep in touch, when saying keep in text, you actually try to remain close to the person via text messages rather than a phone call.
"Ah it was nice meeting you, Keep in text!"
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Based off of the expression "keep me posted," a way of asking someone to stay in touch via text message
Older brother: Thanks for a great night! See you soon.
Younger brother: Sounds good, keep me texted. Do you want to play some Mario Kart online later tonight?
Older brother: Maybe, I'll keep you texted!
Younger brother: Yeah, keep me texted!