Laparoscopy is a key diagnostic and therapeutic tool in the evaluation of infertility.
Fulguration of endometriotic implants (A) is a therapeutic procedure done during laparoscopy to treat endometriosis, which is a known cause of infertility.
Abnormal HSG (B) — if hysterosalpingography shows tubal blockage or abnormalities — is a direct indication for diagnostic laparoscopy to visualize and possibly treat the cause.
Age>35 years (C) alone is not a direct indication for diagnostic laparoscopy unless there are other clinical findings.
Women with comorbid pelvic pathology (D) such as pelvic adhesions or fibroids are valid reasons to perform laparoscopy to assess infertility.
Therefore, A, B, and D are valid diagnostic indications for laparoscopy in infertility cases.
Option (4) is correct.