(CNN) An alliance of both housed and homeless people has filed a lawsuit against Los Angeles to order thousands of beds be provided for the unsheltered.

The complaint filed Tuesday by the LA Alliance for Human Rights accuses the city of neglecting its responsibilities and investing resources in approaches that are too slow to address the homelessness problem in Los Angeles. The suit hopes to mandate that the city and county provide services for the homeless population including training, healthcare and shelter in a faster time frame.

"We really are looking to catalyze change on a systemic level," said Elizabeth Mitchell, an attorney who filed the suit on behalf of the LA Alliance for Human Rights. "We are not looking to get rich. We are not looking for money. We really are looking for change."

Los Angeles City Attorney Mike Feuer's office said it is reviewing the lawsuit and does not have a comment at this time.

Despite major investment in combating the crisis , the homeless population in Los Angeles County increased to almost 60,000 people in 2019 , the Los Angeles Homeless Services Authority said in a June report.

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