to wish
to desire something to occur or to be true even though it is improbable or not possible

望む, 願う

[動詞]
aim
a specific, concrete objective that a person or group actively works toward, believing it to be realistically achievable

[名詞]
to work on
to focus one's effort, time, or attention on something in order to achieve a particular goal

作業する, 集中する

[動詞]
hopeful
(of a person) having a positive attitude and believing that good things are likely to happen

希望に満ちた, 楽観的な

[形容詞]
fortunately
used to express that something positive or favorable has happened or is happening by chance

幸運にも, 幸いにも

[副詞]

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