[Nevadan]

I like them both. So what does that say about people like me?

[RipSawyer]

“I like them both. So what does that say about people like me?”
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Not sure how you’re going to take this but it means you have something in common with me.

[darkwing104]

The combination of cats and dogs (complementary forces) bring balance and harmony.

[afraidfortherepublic]

I like them both. So what does that say about people like me?

You are smart AND obedient.

[RetiredArmyMajor]

“I like them both. So what does that say about people like me?”

.............

I believe that means that you’re bipetsual.