Why wont my Apple Music playlist show up on my computer?

I have been using Iphone X for more than a year already. After a few month since i bought it, i subscribed to apple music and was really pleased with the service and accessibility to all kinds of music. Nevertheless, recently i have purchased a Macbook Pro 13" (2015 year) and signed in to my itunes, everything seemed to be okey until i found out that only half of my playlists have been transferred to itunes apple music on my Macbook. I have turned on "ICloud Music Library" both on MAC and IPHONE to store my apple music songs and playlists in ICloud so I could access them from all of my devices, but it didn't work, because the playlists i created on my iphone in apple music don't appear in itunes apple music on my Macbook which is very frustrating! Only the ones i added from apple music or from my friends do appear on my Macbook. Please, help me out.

Access your music collection on all of your devices with Apple Music - Apple Support

• What happens to the music you already had on your devices when you subscribe to Apple Music?
• If you have music on your iOS device or computer from sources other than Apple Music or the iTunes Store

You have to upload the unmatched tracks to your iCloud Music Library through iTunes on a computer.

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What do you mean unmatched?

When you first start Apple Music, the pre-existing music is matched to the same music in the Apple Music catalog. If you had some tracks on your device that do not have a match in the Apple Music catalog, then those are unmatched, and you would be offered to opportunity to upload those tracks to your iCloud Music Library. If you had some tracks from other sources on a later moment, then you would need iTunes on a computer to upload these tracks to your iCloud Music Library.

If that doesnt apply to your situation, then I dont know how the libraries could differ, with iCloud Music Library active on all your devices.

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