This is the 11112th most frequent Spanish word.
eligen
"Eligen" means "they choose" or "they elect."
Here, 'eligen' is the present tense of 'elegir', used in the 3rd person plural to express deciding or making a selection.
Ellos eligen qué película ver esta noche.
They choose which movie to watch tonight.
In this example, 'eligen' is again the 3rd person plural form of the verb 'elegir', indicating the act of picking an option among several available for the students.
Los estudiantes eligen sus materias optativas al inicio del semestre.
The students select their elective courses at the beginning of the semester.
In this case, 'eligen' is used to denote the action of voting or electing, maintaining its meaning of choosing or deciding upon.