Does an AD terminate by issuing new one?
That sounds like a typical US AD where as I mentioned in a previous post, they don't issue "revisions", like AD 2019-12, AD 2019-12 Rev A, Rev B, Rev C etc.   If the AD is basically the same but has some internal change, the FAA will not issue a "Rev A".  They will issue a superceding AD with a new number that is the same as the old one except for various changes which will be spelled out.  So AD 2019-23 will be replaced by AD 2019-32, which supercedes 2019-23, instead of 2010-23 Rev A, as would be done in Canada or elsewhere.

That language tells you that the new AD is issued with administrative changes and that the compliance requirements are the same as the superceded AD, including any repetitive instruction.  In fact the new AD should have all the compliance requirements of the old one included in it.