Translation of "to infer" into Spanish

Am I to infer that you want us to overturn Jack's expulsion because he's cute?

¿Puedo deducir que usted quiere que retiremos la expulsión de Jack solamente porque él es tierno?

But I didn't kill him, if that's what you're trying to infer.

Pero yo no lo maté, si eso es lo que estás tratando de inferir.

I do not wish to infer that such hospitality was limited to our people.

No deseo insinuar que tal hospitalidad se limitó a nuestra gente.