Is the petitioner's claim outside the core of habeas corpus when it challenges the invalidity of confinement or particulars affecting duration which are the province of habeas corpus?

QUESTION(S) PRESENTED . HOW ARE PETITIONERS' CLAIM OUTSIDE "THE CORE OF HABEAS CORPUS", WHEN IT CHALLENGES THE IN_ VALIDITY OF CONFINEMENT OR PARTICULARS AFFECTING DURATION WHICH ARE THE PROVINCE OF HABEAS CORPUS? WAS THE LOWER COURTS DECISION DENYING PETITIONERS' CLAIM OF HIS CONSTITUTIONAL RIGHTS -NOT VIOLATED? AND CORRECT OF ITS RROCEDURAL RULING?