Can a company or hospital sue if I am making payments?

Question Details: I have incurred a $1046.00 hospital bill & have PROMISED topay $20 a month an dif I have more I will send more. The collector said $40 a month would be more suitable and if the hospital wasn't happy with my payments they may take further action. is the popular belief correct that as long as I am paying them SOMETHING, they can't garnish my wages or sue me?

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