The word alistarán is the future form of alistar in the third person plural.
See the full alistar conjugation

alistar

Bueno, al menos no te alistarán, James.
Well, at least you won't be called up, James.
Y ustedes dos se quedarán aquí y se alistarán para la boda.
And you two will just stay here and get ready for the wedding.
El Presidente de Tayikistán decidirá qué personas se alistarán para vigilar el estado de excepción.
The persons enlisted to oversee the state of emergency shall be determined by the President of Tajikistan.
Bueno, en realidad, no esperé a que me alistaran.
Well, actually, I didn't wait to get drafted.
El, uh, me dijo que podría ganar mucho dinero si conseguía personas que se alistaran al cuerpo de Marines,
He, uh, told me that I could make a lot of money if I got somebody to join the Marine Corp,
Varios delegados dijeron que hubieran preferido un texto más enérgico en el que se pidiera a los Estados prohibir el reclutamiento y la instrucción, así como que sus ciudadanos se alistaran como mercenarios.
A number of delegates said that they would have preferred a stronger text which would have required States to prohibit recruitment and training, and to prohibit their citizens from enlisting as mercenaries.
¿Así que los jóvenes se alistarán al ejército?
Well, young men. Off to join the army?
Y se alistarán ellos mismos con mucha emoción para persuadir a sus vecinos que rindan su corazón a él.
And they will set themselves feelingly to persuade their neighbors to give him their hearts.
El hombre rico, ordenó que alistaran su carreta más grande, y se encaminó a la montaña, determinado a aprovechar la oportunidad mejor que como lo hizo su hermano, y traer de regreso una buena cantidad de diversos tesoros.
The rich man, however, ordered his carriage to be made ready, and drove away, resolved to use the opportunity better than his brother had done, and to bring back with him quite different treasures.
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