I'm sorry, but I believe this to be a misleading question. "Le encanta jugando con sus hijos." = "She loves playing with her children." She loves to play with her children", would be "Le encanta jugar con sus hijos." I feel like I'm being penalized for speaking too much Spanish.
This lesson is about learning how to say "I love doing something"; the English and the Spanish don't always coincide grammatically, which is this case for instance. We explicitly say in the lesson that in Spanish what is loved is expressed with the infinitive (-ar, -er, -ir form), not the gerund like in English.
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