The group filed a lawsuit against Alamance County Commissioners saying their refusal to take down the monument is violating rights protected by North Carolina's constitution.
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The lawsuit also says the monument causes pain to Black residents and is a threat to public safety.
The monument in question sits outside the courthouse in Graham. It has been at the center of a number of protests recently.
A group of more than 50 leaders in Alamance County previously signed a letter asking county commissioners to move the monument. The commission declined at the time, calling the efforts an "ambush."
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WATCH: Hundreds march against racism in Graham, met by counter-protesters
Hundreds march against racism in Graham, met by counter-protesters