on the up and up
US /ɑn ðə ʌp ænd ʌp/
UK /ɑn ðə ʌp ænd ʌp/

1.
光明正大, 好转
honest and legitimate; improving or progressing
:
•
I assure you, this business deal is completely on the up and up.
我向你保证,这笔生意完全光明正大。
•
After a tough year, things are finally on the up and up for the company.
经过艰难的一年,公司的情况终于好转了。