In Iowa, these municipal nuisances are governed by statute and ordinance. Have your parents look at Burlington's ordinances and Iowa Code Chapter 364.22 and 364.12. They should respond quickly.
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This is probably concerning weeds, trash, or abandoned vehicles on their property. If they were given a notice, they need to comply by the deadline. If they do not, the city will take care of it and charge them an exorbitant amount of money.
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