arrastrarían
-they would drag
The word arrastrarían is the conditional form of arrastrar in the third person plural.
See the full arrastrar conjugation

arrastrar

No se lo diría en su cara pero ni caballos salvajes me arrastrarían a Texas.
I wouldn't have said it right to his face but wild horses couldn't drag me to Texas.
Una a la que nos arrastrarían, nos gustara o no.
One we would be dragged into whether we liked it or not.
Las cantidades restantes que no se hubieran asignado se arrastrarían y se aplicarían a las cuotas unificadas posteriores a la fecha de entrada en vigor de la unificación;
Remaining unapplied amounts would be carried forward and applied to the consolidated assessments issued subsequent to the effective date of implementation;
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