on the up and up

基本解释

Mary， don't think everyone is on the up and up with you.
玛丽，不要以为每个人都对你很诚实的。
And to keep things on the up and up, let's require that this be a pseudo-classical function.
为了使事情向好的方向发展，让我们要求这是一个伪经典函数。
Though I have absolutely no evidence that these folks are not on the up and up, I do have a few questions.
虽然我没有确凿的证据指出这些家伙是在煽风点火，而我确实有几个疑问。

The chairs tilt back so that it is easy to look up and watch a movie projected on the ceiling.
The evolutionary model is, I think, responding to, and picking up on, the fact that in many respects, Yahweh resembles the gods of Israel's neighbors.
进化模型，我认为，回应了或者说挑选了这个事实，在很多方面，耶和华与以色列邻国的神灵相似。
耶鲁公开课 - 旧约导论课程节选
but I made up for it by working really hard on the gym and working really hard on the field.
但我通过体育馆和足球场上的刻苦训练弥补了天赋不足。
足球部队长的领导力 - SpeakingMax英语口语达人

In other words, things are on the up and up.
FORBES: Beating Up On The Small Gal.