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Let $p>3$ be a prime. With helps of some combinatorial identities, we establish the following two new congruences: $$\\sum_{k=1}^{p-1}\\frac{\\binom{2k}k}kH_k\\equiv\\frac13\\left(\\frac p3\\right)B_{p-2}\\left(\\frac13\\right)\\pmod{p}$$ and $$\\sum_{k=1}^{p-1}\\frac{\\binom{2k}k}kH_{2k}\\equiv\\frac7{12}\\left(\\frac p3\\right)B_{p-2}\\left(\\frac13\\right)\\pmod{p},$$ where $B_n(x)$ denotes the Bernoulli polynomial of degree $n$. 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