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英語バージョンを見るとはっきり分かる。癒やし事業は韓国と日本の協力の下で行われる。

the Government of the ROK establish a foundation for the purpose of providing support for the former comfort women,
(韓国政府が癒やし財団を設立する)

that its funds be contributed by the Government of Japan as a one-time contribution through its budget,
(日本政府がその資金を拠出する)

and that projects for recovering the honor and dignity and healing the psychological wounds of all former comfort
women be carried out under the cooperation between the Government of Japan and the Government of the ROK.
（慰安婦の名誉と尊厳の回復，心の傷の癒やしのための事業は日本政府と韓国政府の協力のもとで行われる)