Pure Music option to convert to Apple Lossless

I am busy adding a lot of FLAC files to my iTunes library using the Pure Music "add a FLAC file" option - no problem. However, If I move a FLAC album to Playlist and attempt to burn it to a CD it burns but you cannot hear the results. Does the Pure Music "convert to Apple Lossless" option alleviate this problem?

Just not sure what kind of file it converts to Apple Lossless and will that solve my "silent CD" problem?
I am not familiar with Pure Music being able to transcode files from one audio codec to another. It is a music playback software rather than a process software (rip, extract, transcode). It does allow for the playback of FLAC files but it uses iTunes only for database/file management purposes. Where do you see a conversion option to ALAC within PM?
When you click on Pure Music at the very top of the screen (next to the Apple) on of the options that comes up is "Convert Audio files to Apple Lossless".

Apparently you cannot burn a FLAC file to a CD and expect to hear it later! That was new information to me!
I had never noticed that. I always use XLD.
I own Pure Music 2.

Whilst using the Bookmark feature is a quick and easy way of allowing playback of FLAC files in iTunes, it does come with drawbacks. The reason is that the files are not really inside iTunes so there is nothing to burn. And as soon as you move the files, it looses the bookmark and you have to repeat the process from the new location.

I much prefer to convert the FLAC files to Apple lossless and then add them to the iTunes library. Pure Music plays them in 24/96 or 24/192 (bitdepth/frequency) with full fidelity, bypassing Apples playback which forces 16bit/44khz.

Once you do this you can burn the playlist to Disc as normal.

By the way, XLD is twice as fast at converting than the converter in Pure MUsic. And it runs in the background while you listen to music. I have not found any sonic differences and I have not read anything on-line that describes a difference in trans coding from Flac to Apple Lossless. I can tell you that I have ripped my entire CD collection and I have accumulated a large replacement collection of 24 bit versions from HDTracks, etc. The 24 bit versions sound much better at least to my ears.

So, if you have a favourite album and are wondering if it is worth buying from an HD download site, I can tel you definitely yes.
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If you'd like to convert FLAC files to Apple Lossless, you can have a try of Apple Music Converter, which can meet your needs with three steps. 
Just add FLAC files to this program, and choose Apple Lossless format and then click the 'Convert' button, all steps are done. Just wait for your Apple Lossless files. 
FLAC is lossless format, if you want to convert apple music to lossless format, you can follow this tips to convert Apple Music to FLAC format. Hope this software can help you well.