Idaelogic or Idealogic: How To spell?

The word Idaelogic is misspelled against Idealogic, an adjective meaning "pertaining to an idealogue, to idealization."

Idealogic has vowels 'ea' together mispronounced as 'ae'
Word contains consecutive vowels 'EA' in between alphabets id & logic is misspelled as 'AE'
Wrong Spelling:  id-ae-logic 
Correct Spelling:  id-ea-logic 
Find more incorrect spellings of Idealogic to spell right way.

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