Step 1: Preparation
1. Cut both ends of the stainless steel flex hose. You can use a cutting wheel or a similar tool for the cutting process.

2. Use a grinding wheel or sandpaper to smooth the ends of the hose.

Step 2: Prepare Welding Equipment
1. If you are using a TIG (Tungsten Inert Gas) welding machine for stainless steel hose welding, set up your welding machine correctly.

2. Adjust the necessary electrode, welding current, and gas flow for the welding process.

Step 3: Welding Process
1. Clean and remove any rust from the areas where you will join the stainless hose ends before welding.

2. Join the ends of the hose and align the surfaces to be welded.

3. During the welding process, create the weld by moving in a circular motion around the joined area.
4. Allow the weld to cool after completing the welding process and then clean the welding area.

Step 4: Quality Control
1. After the welding process, make sure the weld is properly formed on the hose and that there are no holes, cracks, or defects.

2. Review and rectify any deficiencies if necessary.

Keep in mind that stainless steel welding is a process that requires professionalism and experience. If you lack experience in this regard or are dealing with a complex application, it is important to seek help from a skilled welder. Additionally, be sure to pay attention to safety precautions during the welding process.