Splicing noises?

I cut and spliced 3 sections of a musical recording into one. On either side of the middle section (2nd of the 3 sections), there are how hiccup sounds. Not sure how else to describe it - sounds where you can hear that the sections are joined. I tried creating silence, I tried noise reduction, but the sounds are still there. Is there a way that these very short hiccups can be removed so the sound flows better?
Thanks, Cindy

You can try using the “clip fix” effect. Sometimes you can zoom into the sample level and adjust the waveform manually.

When I do splices of this nature, I try to overlap the clips. I then run “crossfade tracks”.