A reminder: when displaying dates and times in apps, do just that. Display dates and times. Don't withhold information have from the user. Don't try to be clever.
Just saw an app tell me that a particular message was sent to me on Wednesday. Which Wednesday? In the time zone I am currently in, it's Wednesday. If the message was sent on Wednesday 3rd December, that is the information you give the user.
Even better, include the time. That way, people can more clearly see intervals and durations.