Píngjiè duōnián de jīngyàn, tā jiějuéle zhège nántí.
Drawing on years of experience, she solved this difficult problem.
Tips
usage
Variant orthography of 凭借 — same word, same pronunciation, just an older / more literary spelling of the second character. Modern editing standards prefer 凭借; you'll see 凭藉 in older books, formal documents, and Taiwan/HK texts.
grammar
Functions as a preposition introducing the means or basis: 凭藉 + NP + VP. Compare with 依靠 (yīkào, more on people) and 借助 (jièzhù, more on tools/help).