The phrase "a way that excludes" is correct and usable in written English.
It can be used to describe a method or approach that intentionally leaves out certain individuals or groups.
Example: "The policy was implemented in a way that excludes low-income families from accessing essential services."
Alternatives: "a method that omits" or "an approach that leaves out".
Rock's narrative is written in a way that excludes women who noodle, shred and expand the music in new directions.
The Catholic Church and orthodox Jewish congregations have defined their positions of leadership in a way that excludes women, but the No Exemption view is that those organizations have no morally valid claim to be exempt from antidiscrimination laws for that reason.
Injuries reported to a system, such as SOII or WC, but classified in a way that excludes them from meeting a particular surveillance definition can make a valuable contribution to surveillance data.
Worse, it's formulated in a way that excludes people from developing countries from the conversation.
Cicero's code also defines "family" in a way that excludes the large, multigenerational groupings now common across the country.
Lengthy conversations are often framed in a way that excludes people's heads and have dialogue delivered from off-screen.
They charge that Republicans are rewriting the federal domestic violence law in a way that would exclude some protections for immigrants, American Indians and gay men and lesbians.
"It becomes very difficult when every building block of culture becomes somebody's property in a way that can exclude people from using it," Thomas Kadri, a fellow at Yale Law School told the New York Times.
"[T]he irony is that the FCC is now considering narrowing those successful principles in a way that will exclude Google, a major Internet gatekeeper," Cicconi said.
"The DRT has a perception that they own the Alamo because they have managed it and handled it in a way that has excluded Hispanics from participating in historical activities," de Lara said.
And last year, the Massachusetts legislature adopted a law requiring state health insurers to cover the costs of extended antibiotic treatment for Lyme disease after a contentious battle with Governor Charlie Baker, who vetoed the original law and rewrote it in such a way that would exclude Lyme disease specialists from such coverage.
