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Edited to only hide the core of what is apparently a terrible secret; the rest is simply a direct response to the question.
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Yes they are.

In Harry Potter and The HalfbloodHalf-blood Prince we see Dumbledore showing Harry a memory

Dumbledore showing Harry a memory of Slughorn that Dumbledore himself has already used.

that Dumbledore himself has already used.

Yes they are.

In Harry Potter and The Halfblood Prince we see

Dumbledore showing Harry a memory of Slughorn that Dumbledore himself has already used.

Yes they are.

In Harry Potter and The Half-blood Prince we see Dumbledore showing Harry a memory

of Slughorn

that Dumbledore himself has already used.

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user46509
user46509

Yes they are.

In Harry Potter and The Halfblood Prince we see

Dumbledore showing Harry a memory of Slughorn that Dumbledore himself has already used.