Final answer:
Urethroplasty is the procedure that involves reconstruction of the urethra to relieve pain when voiding due to a urethral stricture.
Step-by-step explanation:
The procedure that involves reconstruction of the urethra to relieve pain when voiding due to a urethral stricture is urethroplasty. Urethral stricture is a narrowing of the urethra, which can cause difficulty and pain during urination. Urethroplasty involves removing the narrowed portion of the urethra and reconstructing it to allow for better urine flow.