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Hiring “has been expanding,” said Robert Dietz, chief economist at the National Association of Home Builders. “It’s just not expanding fast enough.”

The monthly data is volatile and the number of open jobs still remains near historic highs.

The lack of workers has been one of the housing industry’s biggest challenges, slowing the construction process for single-family homes and apartments and contributing to a housing shortage.

The decline in open jobs suggests employers are having a slightly easier time finding workers to hire. It could also be partly the result of a slowdown in multifamily construction activity as the apartment market becomes saturated. Developers have been pulling back on starting new projects, although there is still a fairly high volume of projects in later stages of construction.

Mr. Dietz noted the decrease also could be a sign that some builders have put projects on hold.

“You can have job openings fall because some employers have simply given up,” he said. “It can be frustrating when you’ve got low inventory in your market and you’re ready to put up those homes and all of a sudden you don’t have enough workers.”