'Bind weed survives many herbicides that kill other plants. For example, 2,4-D is largely ineffective against bindweed if used alone. Three-way mixtures containing dicamba or dichlorprop (combined with the standards 2, 4-D and MCPP/MCPA) can provide moderate to good control.

The herbicide quinclorac is highly effective at controlling bindweed. Quinclorac is also a component of a few professional products. Quinclorac is available to the homeowner in the products Ortho Weed B Gon MAX plus Crabgrass Control and Bayer Advanced ™ All-In-One Lawn Weed and Crabgrass Killer.'

If you've correctly identified the other as an artemisia, then you should be able to control it with an herbicide labeled for broad-leave weeds. If you're not positive of your ID, I highly recommend you get an ID. You can send us photos or bring a sample into the Denver Extension at 888 E. Iliff (in Harvard Gulch park). 

That looks like Western Ragweed (Ambrosia psilostachya) not Absinthe Wormwood. It's a native, not an alien, but it is a main cause of hay-fever in late summer when it blooms. To control it, hand-pull new plants before they establish, and remove and discard the flower inflorescences to avoid them going to seed and creating new plants.

Chemical controls similar to those listed for Absinthe Wormwood may be used to kill the underground rhizomes. Here is a link to that Colorado Department of Agriculture fact sheet: https://www.colorado.gov/pacific/sites/default/files/Absinth%20wormwood%20Fact%20Sheet.pdf