Life on the Miller farm, near the Canadian border in the northernmost reaches of New York, follows a routine rooted in the old ways. For the Millers, an Amish clan, there is no Twitter or television to distract, no tractor or electricity for convenience.

There is family, faith and the farm.

On Wednesday evening, they were gathered near the barn, milking the cows, when Delila, 7, saw a white, four-door sedan pull up to the family’s wooden vegetable stand. She and her 12-year-old sister, Fannie, walked a few hundred feet to the roadside to greet the customer.

Then they disappeared.

Their abduction set off a statewide Amber Alert and a sweeping search effort that used every high-tech method available to law enforcement. Helicopters were dispatched, divers put on scuba gear to scour the murky depths of nearby rivers and border agents combed through hours of video for a car matching the description of the one that pulled up to the vegetable stand.

On Thursday night, more than a day after they disappeared, the St. Lawrence County district attorney’s office said that the girls had been found. Their return ended a search that was complicated by the customs of the Amish as well as the technological problems that come with the modern world.