[verb (dictionary form)] + 嫌いがある [noun] + の + 嫌いがある
The expression 嫌いがある (きらいがある) means "to have a tendency to" or "to be inclined to". Despite containing the word きらい嫌い (which normally means "dislike"), this grammar point has nothing to do with liking or disliking. Instead, it is used to point out an undesirable or negative tendency that someone or something has.
This is a formal, literary expression most commonly found in written Japanese, essays, critiques, and formal speech. It is almost always used to describe tendencies that the speaker views negatively or critically.
The pattern attaches to a verb in dictionary form or a noun followed by の:
Negative connotation: Unlike neutral expressions such as けいこう傾向がある (which can describe any tendency), 嫌いがある always implies criticism or concern about the tendency being described. You would not use it to describe a positive habit.
Not about personal preference: Learners often confuse this with きらい嫌い meaning "dislike." In this fixed expression, 嫌い functions as a noun meaning "tendency" or "inclination" – an archaic/literary usage of the word.
Formal register: This expression sounds stiff in casual conversation. It is typically seen in news commentary, academic writing, and formal discussions.