Yes, you can wash clothes repaired with fabric glue, but there are important considerations to ensure the repair holds. First, check the fabric glue's label for washing instructions, as different glues have varying levels of water resistance. Most fabric glues are designed to withstand washing, but they may require a curing period of 24 to 72 hours before the garment can be washed. 
When washing, use a gentle cycle with cold water to minimize stress on the glued area. Avoid using hot water, as it can weaken the adhesive bond. It's also advisable to turn the garment inside out to protect the glued section. Use a mild detergent and avoid bleach or fabric softeners, which can degrade the glue.
For drying, air drying is preferable. High heat from a dryer can compromise the glue's effectiveness. If you must use a dryer, opt for a low heat setting. 
Hand washing is another option, offering more control and less agitation. Gently agitate the garment in soapy water, focusing on areas away from the glue, and rinse thoroughly.
If the repair is on a high-stress area, consider reinforcing it with stitching for added durability. Regularly inspect the glued area for signs of wear or loosening, and reapply glue if necessary.
In summary, while clothes repaired with fabric glue can be washed, following specific care instructions will help maintain the repair's integrity.