In this particular set of words it looks like the point is that the "t" in the words is pronounced differently when it occurs at the end of the word. This is especially true of AmE. In AmE, when the t occurs at the end of the word, the tongue stops the flow of air in the same place (a bit behind the teeth) as usual, but then doesn't open back up again for the next vowel. The word ends with the tongue still closing off the air flow.
Furthermore, again in AmE in particular, a t at the beginning of a word or at the beginning of an accented syllable is fully unvoiced, whereas a t between two vowel sounds and at the beginning of an unaccented syllable (as in duty and beauty) is usually somewhat voiced, making the sound similar to a d.