This point may be confusing so I will give the following example: "A" and "A = A" are both different terms. While "A" can be observed for what it is, "A =A" observes a dualism in not only terms but concepts as well considering both "A" and "=" are introduced. In these respects a logistic atomization occurs through a process of individuation where "A" is separated into "A,A" and "=". "=" exists as the relation of "A" to "A", however for this relation to exist a process of movement through relation as individuation must occur. In these respects the law of identity is as much a law about relativity as it is about identity.
"A=A" "collapsing into one" implies a separation. However you are correct. "A=A" observes a dualism of unity and multiplicity as a separation is implies through "=" which act simultaneously as a dual term. While "A" in both the example of "A" and the example of "A=A" is unity in itself. The observation of "A=A" observes "A" relating to itself through "=" with individuates "A" into "A,A".