Considering an action complete (dar por)

To express that you consider an action or situation definitively finished, use the verb dar por followed by a past participle or an adjective.

The past participle or adjective must agree in gender and number with the direct object it describes.

Officially, I have considered the investigation concluded.
Oficialmente, he dado por concluida la investigación.
The detective has considered the kidnapping victim dead.
El detective ha dado por muerta a la víctima del secuestro.

Notice how cerrado matches the masculine singular el caso in the next example:

Without new evidence, we consider the case closed and we shelve it.
Sin nuevos indicios, damos por cerrado el caso y lo archivamos.

You can conjugate dar por in any tense to reflect exactly when an event was considered closed.

Yesterday, the police considered the suicide case concluded.
Ayer, la policía dio por concluido el caso de suicidio.
The doctor had considered the mystery solved for years.
Hacía años que la médica daba por resuelto el misterio.

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