The phrase "articulated why" is correct and usable in written English.
It can be used when explaining the reasons or rationale behind a particular statement or action.
Example: "She articulated why the project was important during the meeting, highlighting its potential impact on the community."
Alternatives: "explained the reasons" or "clarified why".
We articulated why we continued to protest and indeed why we ever protested at all.
Mr. Robin articulated why he relied on Mr. Ebers: "I don't want to use a machine, because I've got 8,000 other things to do".
This is particularly true in the case of the Palestinians because they never articulated why their uprising was necessary, given the diplomatic alternatives still available, or what its precise objectives were.
In a recent op-ed for the Financial Times, the bank's executive chairman, Francisco González, articulated why banks must get with the technology program: "Some bankers and analysts think that Google, Facebook, Amazon or the like will not fully enter a highly regulated, low-margin business such as banking," he wrote.
When Janet Murguia, president of the Hispanic civil rights group NCLR, declared that the Arizona law "goes against our laws and our values as a country", she articulated why a state-by-state response to such a socially delicate issue can be so problematic.
Musk articulated why it's so important that SpaceX develop rockets that can take-off, land and then be refuelled and launch again without having to build a new rocket to do so.
And they cannot articulate why.
"He seems not quite able to articulate why he'd want to be mayor.
Others had difficulty articulating why they were put off by her.
We all know Philip Seymour Hoffman is a lock, but no one can articulate why.
Mr. Wang, a soft-spoken man, was not entirely able to articulate why he was so wantonly defying the authorities.
