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added clarification and added formatting
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Python 3, 169 bytes

p,a="z",96
for i in "abdeghilmnrstwxyaeioy!!eodfhlmnrstxae!oaeimodfnstoaiaioaeimouyaeoudefhimnprswxyaeiie!hioaiohmnpst!!eoiuaeoa":print((chr(a:=a+(i<=p))+i)*(i>"_"));p=i
p,a="z",96
for i in "abdeghilmnrstwxyaeioy!!eodfhlmnrstxae!oaeimodfnstoaiaioaeimouyaeoudefhimnprswxyaeiie!hioaiohmnpst!!eoiuaeoa":print((chr(a:=a+(i<=p))+i)*(i>"_"));p=i

My first code golf. Uses a list of the second letter for each combination alphabetically, and changes the first letter if the next character is smaller than the previous (new set of words). Exclamation points are added to break up sections where the next character would be larger than the previous and to skip C and V.

Python 3, 169 bytes

p,a="z",96
for i in "abdeghilmnrstwxyaeioy!!eodfhlmnrstxae!oaeimodfnstoaiaioaeimouyaeoudefhimnprswxyaeiie!hioaiohmnpst!!eoiuaeoa":print((chr(a:=a+(i<=p))+i)*(i>"_"));p=i

Uses a list of the second letter for each combination alphabetically, and changes the first letter if the next character is smaller than the previous (new set of words). Exclamation points are added to break up sections where the next character would be larger than the previous and to skip C and V.

Python 3, 169 bytes

p,a="z",96
for i in "abdeghilmnrstwxyaeioy!!eodfhlmnrstxae!oaeimodfnstoaiaioaeimouyaeoudefhimnprswxyaeiie!hioaiohmnpst!!eoiuaeoa":print((chr(a:=a+(i<=p))+i)*(i>"_"));p=i

My first code golf. Uses a list of the second letter for each combination alphabetically, and changes the first letter if the next character is smaller than the previous (new set of words). Exclamation points are added to break up sections where the next character would be larger than the previous and to skip C and V.

Source Link

Python 3, 169 bytes

p,a="z",96
for i in "abdeghilmnrstwxyaeioy!!eodfhlmnrstxae!oaeimodfnstoaiaioaeimouyaeoudefhimnprswxyaeiie!hioaiohmnpst!!eoiuaeoa":print((chr(a:=a+(i<=p))+i)*(i>"_"));p=i

Uses a list of the second letter for each combination alphabetically, and changes the first letter if the next character is smaller than the previous (new set of words). Exclamation points are added to break up sections where the next character would be larger than the previous and to skip C and V.