estaban tranquilizando
Imperfect progressive ellos/ellas/ustedes conjugation of tranquilizar.

tranquilizar

Era como si ellos supieran algo que yo desconocía y me estaban tranquilizando y animando para que no tuviera miedo.
It was like they knew something that I didn't and they were reassuring me and encouraging me to not be frightened.
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