Add the olive oil (or veggie broth) to the pan on medium heat. Once hot, add the green beans. Let them cook undisturbed for about 1 minute.
Mix the garlic, soy sauce, ginger, spices, and lemon in a separate bowl.
When the beans have turned color or are tender, add about ½ cup water to the pan. Cook another 2 minutes until everything is fragrant and most of the liquid is gone. Add turnip greens.
Poke the beans with a fork, it if goes through easily, they are done. Should take about 5 minutes.