If a girl leaves me on read, should I do the same?

I mean, what if the girl used to be very chatty and interested, and now she leaves you on read? I'm not sure if I've somehow hurt the girl or if she is genuinely busy (like she claimed to be). Like ok, maybe she didn't feel the need to reply to my text (which didn't necessarily require a response)? But still, it's a bit rude.

When she replies, should I give her the same treatment (if her message doesn't necessarily require a response)? I still care about her, but I hate that she left me on read twice in a few days (not twice in a row, but still). I just don't want to loser her either.
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What about liking the message without replying? Would that be better/less rude than just leaving on read/seen?
If a girl leaves me on read, should I do the same?
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