I can't quite understand the meaning of _dakedo_ here.

> 予定日は過ぎているから どっちかは分かるん **だけど** なぁ。  
>  We are passing the scheduled date.

(This is what I can understand from this sentence about a baby born date.) I'm
really confused about だけど.
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phrases
だけど (used at the end of a sentence)
This is really a case of けど at the end of a sentence. There are several
questions about this already:

  * [けど at the end of the sentence?](https://japanese.stackexchange.com/q/2086/1628)
  * [けど in the end of sentence](https://japanese.stackexchange.com/q/36037/1628)

Your sentence ends in 分かるんだ, where ん = の is nominalizing the verb 分かる and だ is
then needed to make it a complete sentence (and けど is following that). The
sentence also could have ended in …分かるけどなぁ. For this you can look at

  * [What is the meaning of ～んです?](https://japanese.stackexchange.com/q/5398/1628)

Back to your example sentence, 予定日 is a keyword here and refers to the
estimated day of confinement ("due date"). どっちか means "which [of two options]"
and in this context the two options are "boy or girl".

> 予定日は過ぎているから どっちかは分かるんだけどなぁ。  
>  We have passed the due date already. Well, we already know which it's going
> to be...
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It's hard to understand for me but the full statement could be the following.

"予定日を過ぎているから、もう赤ちゃんは生まれているのだろう。だとしたら、男の子なのか女の子なのか、見に行けばどっちか分かるんだけどなあ（仕事で行けないけど）"
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