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A student submitted a paper to an English-language journal and received a 'conditional acceptance.'

Literal

Student [subject-が] English-paper journal [to-に] paper [object-を] submit-and, 'conditional acceptance' [into-に] has-become.

A plain-form narrative in an academic context. 条件付採録 is a technical term from academic publishing: 条件付 ('with conditions,' 'conditional') + 採録 ('accepted for publication'), a verdict that sits between outright acceptance and rejection — the paper will be published if the authors address the reviewers' conditions. 英文論文誌 stacks 英文 ('English writing') + 論文誌 ('paper journal' = academic journal), forming the compound noun for 'English-language academic journal.' The ~になっています form ('has become X and is now in that state') marks the current resultant state of the submission process.