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The phrase "as the program has" is correct and usable in written English.
It can be used when referring to a specific feature, function, or behavior that a program possesses or has implemented.
Example: "The software operates efficiently, as the program has been optimized for performance."
Alternatives: "since the program has" or "because the program has".
Exact(25)
As the program has grown, so have the workers.
But as the program has grown, so has the opposition.
But as the program has grown, so have its problems -- as even its backers acknowledge.
But even as the program has become more expensive, the city kept its contribution the same.
But as the program has expanded, some militia groups have been infiltrated by Sunni militants still at war with American forces.
As the program has progressed, H.D.C. officials say, building costs have increased, obliging the agency to raise the maximum subsidy per apartment allowable under the program.
Similar(32)
"In failing to address a plethora of red flags, it is almost as if the program has operated in the belief that it would 'remain lucky.'".
As far as I can tell, the program has been a costly flop.
But Friday and Saturday's concerts will take place as scheduled, although the program has been revised.
For many, the impact of the program has been as much emotional as practical.
But as he put it, the program has not involved "just sitting in a room full of policy geeks".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com