CorelDRAW X5 :: How To Merge / Flatten / Join Separate Layers (objects)

I came across this site a few weeks ago and was happy to see that a community like this existed. I am new to CorelDraw and have been playing around with it because my friend just bought a Roland GX-24 vinyl cutter and I wanted to make some designs for it. I, however, am overly experienced with Photoshop and not enough with CorelDraw, but would like to balance that out.

I came across my recent predicament when I exported my CorelDraw image into Roland CutStudio and it wanted to cut all the underlying curves from each layer, instead of the black and white image as it appeared. I wasn't surprised this happened because I couldn't figure a way to join/ merge the curves before I exported, but I was still hopeful that it might cut the image as it appeared.

This first object is a blade layer and as you can see from the picture, when selected, its curve goes right through the other spiral object. How can I merge these curves? As it stands right now, I can't even figure out a way to select the two of them at the same time, let alone join the curves.

....and vice versa in this picture, the spiral object when selected goes right through the blade

....and in the foremost layer of the image when selected, the curves also continue through the spiral

Here is a picture of the current layers for this whole image. The front layer I paint bucket filled numerous portions of it with white so it stuck out above the bottom two other layers, so all the fills make it a group of 161 objects, and the next layer is a group of 2 objects which are the spiral and the blade from the first 2 pictures.

My question is how can I merge or join all the curves in the entire image, essentially flattening the whole image as it appears?