Right answer:
cierran
Cierran is the conjugation of the verb cerrar for the third person plural in the simple present. The simple present tense is used to talk about habitual actions or routines. This tense is also used to describe things that happen now or in the near future. So Miguel y Elena can be replaced by the subject pronoun ellos (they). Finally:
Miguel y Elena cierran la puerta (Miguel and Elena close the door)