The phrase "a broader cause" is correct and usable in written English.
It can be used when referring to a larger or more inclusive purpose or reason behind an action or movement.
Example: "Many people joined the protest, believing it was part of a broader cause for social justice."
Alternatives: "a larger purpose" or "a wider objective".
"I think what the president was saying was -- had no intended consequences for anybody, Muslim or otherwise, other than to say that this is a broad cause that he is calling on America and the nations around the world to join".
They said that it would put an excessive burden on companies that had to provide paid sick days and that its language provided a broad cause of action for any employees who claimed their employment was unfairly affected by using paid sick days.
Infectious causes diarrhoeal disease, meningitis and encephalitis, pneumonia and sepsis were consolidated into a broad cause category of infection, and the categories 'other and unspecified' and 'indeterminate' were consolidated to facilitate presentation of cause-specific rates and overall fractions in figure 1.
However, this is merely a symptom, rather than the cause, of a broader reason for the ever-growing white diaspora.
What brought together the disparate elements of the coalition, however, is a far broader cause: changing the critical way that Americans think about drugs.
Reeling from their recent defeats, supporters of immigrant rights are mining those files as part of a fierce -- critics say unfair -- campaign to label him a racist and discredit his broader cause.
As the marathon talks drew to a close on Thursday night, advocates said that, compromises aside, they believed New York had given new momentum to a broader social cause.
And it's part the product of unrealistic expectations, from progressives who somehow thought Turnbull's stated position on things like marriage equality or climate change or the republic might translate to a broader common cause and from voters who seemed to hope subbing in one bloke they quite liked might somehow change everything they hated about the dumbed-down busted-up political system.
The broader cause suffered, too.
It is also well known that stress in connection with for example, the death of close relatives, illness, unemployment and the like can in a broad sense cause depression in the same way as long-term severe strain.
