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están leyendo su libro

are reading their book

→ estar
phrase Rare #40,827
are reading their book Present progressive. "Su" can mean his, her, your, or their, depending on context.
SP: Mis amigos están leyendo su libro en la sala.
EN: My friends are reading their book in the living room.

Ellos están leyendo su libro.

They are reading his book.

Ellas están leyendo su libro.

They are reading their book.

Están leyendo su libro.

They are reading his book.

Las niñas están leyendo su libro.

The girls are reading their book.