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おかげさまで， お陰様で， お蔭様で， お陰さまで， おかげ様で， 御陰様で， 御蔭様で
1. thankfully, fortunately, luckily, by God's grace, under the gods' shadow
2. thanks to your (his, their, everyone's, etc.) kindness, thanks to your assistance, thanks to your support, thanks to your efforts
tbd
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助かる， たすかる
1. to be saved, to be rescued, to survive
2. to escape harm, to be spared damage
3. to be helped, to be saved trouble
获救、被救、幸存；脱离危险，避免遭受损失；得到帮助，避免麻烦