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Police in Vermont are investigating a possible connection between millionaire Robert Durst, 71, and the disappearance of a Middlebury College student in 1971.

Middlebury Police Chief Thomas Hanley said in a statement Monday that law enforcement has been aware of the connection for several years.

According to Hanley, Durst owned and operated the “All Good things” health food store in Middlebury when Lynne Schulze was reported missing.

Schulze was 18 years old at the time of her disappearance.

Lynne Schulze.
Lynne Schulze.Associated Press

“The Lynne Schulze case was reopened in 1992,” Hanley said. “Although technically labeled ‘cold’, the case has been continuously generating leads since the investigation was re-opened. We continue to follow up on all leads that we receive in this case.”

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No other information was available from police on Monday. Durst is currently being held without bond on weapons charges in Louisiana. He is also accused of killing a friend 15 years ago in California.

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Juan Cajigas can be reached at Juan.cajigasjimenez@globe.com. Follow him on Twitter at @Esteban_Cajigas.