Is there a way to add two fram-sets of animation?

Right now I have one animation that makes text fade in and out, but I want to add a second animation that makes something in the background of the sig move back and forth

How do I do this?

You can do that also in same time frames what you have created for text disapear/apear, you dont have to create new ones for those imo.
Regards

Thanks for the response

However, I realized that
It's just quite difficult to try to coordinate two animations, especially if they don't use the same number of frames, or the same speed of animation

Is there a way to have two sets?

No, you have to do it in the same frames.