For what reltively prime integers $a$ and $b$ does the expression $2ab$ an even numeric palindrome?

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I currently doing some research on numeric palindromes. And I am stack with the problem:

For what reltively prime integers $a$ and $b$ does the expression $2ab$ an even numeric palindrome?

Since one solution is the pair (2,11), is there a general form for its solution? Many thanks.

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you conjecture is not true since (2,11)=1 and 2∗2∗11=44