Barely Significant
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Same sex marriage and the perceived assault on opposite sex marriage.

PLoS One · 2013 · PMC3679150 · PMID 23776536

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a decreasing trendno p-value reported
Our primary formal hypothesis is twofold: (1) that there is in the short or long-term a decreasing trend in rates of opposite sex marriage following implementation of same sex marriage laws, and (2) that states enacting same sex marriage laws experience an increase in opposite sex marriages in the short-term following implementation.

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Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.