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Hi,

If I understood correctly you're pushing traffic from ppc to domainA.

First case:

At some point on domainA the users login using a page from domainB.

Since domainB is not set as Internal this is normal behavior and will overwrite the ppc channel.

However this overwrite will only affect the conversion allocation, the traffic from PPC will still be recorder.

Second case:

As I said the overwrite changes the allocation of the conversions not the traffic.

So if the next visit is from Direct than the PPC channel will not be incremented for the visit.

A better explenation than mine can be found:

Refresher on Adobe Analytics’ Marketing Channels Reports: Part II | Adobe