The idiom "good faith" refers to being honest, sincere, and trustworthy in one's actions or intentions. It implies that a person is acting with integrity and without any ulterior motives.

The idiom "in the air" is a figurative expression that means something is uncertain or undecided, and it has not yet been determined or finalized. It can also refer to something that is pending or ongoing, but not yet complete.

The idiom "brown study" means to be confused or puzzled, especially when trying to understand something. It can also mean to be in a state of bewilderment or disorientation.

The idiom "across the board" means to apply something to all aspects or situations, without any exceptions or limitations. It can also mean to implement a change or policy that affects everyone or everything involved.

The idiom "follow by" means to be close behind or to follow something immediately after. It can also mean to occur or happen at the same time as something else.