Learn Spanish (Latin America): Venimos integrando palabras nuevas gradualmente. - We have been gradually integrating new words.

While hemos estado integrando (present perfect continuous) is perfectly correct, using the combination of venir + gerund (venimos integrando) specifically highlights that an action started in the past and has been steadily progressing, accumulating, or building up step-by-step to the present moment. It paints a more vivid picture of an ongoing, gradual effort.

If this lesson covers both ir and venir with a gerund, could we use vamos integrando here instead?

Yes, but it would change the focus of the timeline. Venimos integrando looks from the past to the present: we started previously and have been doing it up to now. If you said vamos integrando, it looks from the present into the future: it means "we are currently integrating (little by little)" and implies the step-by-step process is moving forward.

Could I place gradualmente immediately after the verbs, like "Venimos integrando gradualmente palabras nuevas"?

Yes, you can. Adverbs ending in -mente are quite flexible in Spanish. Putting gradualmente right after the verb places a bit more emphasis on the gradual nature of the action. However, placing it at the very end of the sentence (as shown here) is extremely common and natural, as it doesn't interrupt the core verb-object pair of integrando palabras nuevas.

Why is it palabras nuevas and not nuevas palabras? Does the adjective placement matter here?