In the given context, we have a table named 'station' which contains a column 'city'. The problem is to find out all the distinct city names that do not start or end with a vowel. The vowels considered here are 'a', 'e', 'i', 'o', 'u'.
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The solution uses a SQL query to solve the problem. The 'select distinct' statement is used to get unique city names. The 'where' clause is used to filter out the cities that do not start or end with a vowel. The 'left' and 'right' functions are used to get the first and last character of the city names respectively, and the 'not in' operator is used to check if these characters are not vowels.
select distinct city from station where left(city,1) not in('a','e','i','o','u') and right(city,1) not in('a','e','i','o','u');
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