han empezado a

they have started to

→ haber
phrase Rare #38,050
they have started to Used with an infinitive to describe something that has begun. “Han” can also refer to a formal “you” or to “you all,” depending on context.
SP: Han empezado a construir una casa nueva.
EN: They have started to build a new house.

De repente han empezado a gritar, dos de ellos se han levantado y casi se pegan.

Suddenly they started shouting, two of them stood up and almost hit each other.

Han empezado a vender algunos objetos valiosos.

They have started selling some valuable objects.

— El imperio de las sombras (2016)

Por miedo al SIDA han empezado a violar a sus compañeras.

Out of fear of AIDS, they have started raping their female classmates.

— Hable con ella (2002)

Las hojas han empezado a cambiar de color.

The leaves have started to change color.

En la superficie se han empezado a formar islas.

Islands have begun to form on the surface.

— Solaris (1972)

Se habrán fijado que han empezado a su aire, a su propio ritmo.

You may have noticed that they started in their own way, at their own pace.

— La Sociedad de los Poetas Muertos (1989)

Ya han empezado a caer las primeras manzanas.

The first apples have already started to fall.

A Tom le han empezado a salir algunas arrugas en su frente.

Tom has started to get some wrinkles on his forehead.