Using the personal "a"
What does this sentence mean below:
If the direct object is an indefinite person, the personal "a" is not used. The result is that the person becomes "depersonalized."
3 Answers
This covers it pretty well: the personal a
3.3 Veo a tres personas que son mis primos.
I see three people who are my cousins.
3.4 Necesito tres personas para hacer un trabajo.
I need three people to do a job.
Here in example 3.4 the personal a is not used because the direct object persons are not anyone specific.
I believe you obtained this explanation from Study Spanish.com where it also gave you the the following explanation. The "depersonalised" statement means you drop the personal "a".
Necesito médico.
I need (any) doctor. (or)
I need medical assistance.
Necesito jardinero.
I need (any) gardener. (or)
I need someone to tend my garden.
You still use the "personal a" with indefinite pronouns like alguien if they refer to a person:
Vieron a alguien en el teatro.
They saw someone in the theater.