Entrer en contact and améliorer1 nos réseaux are fine and might be used by native people.
As a side comment, while your text is quite good French, there are a few issues like these ones :
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en apprendre et en proposer plus doesn’t seem to match “learn new things” and the two en are odd here.
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au notre mode de vie is incorrect, should be à notre…
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parce que nous devons doesn’t translate “in order to”.
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notre needs to agree with journées
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we do not use German quotes „xxx“ but guillemets « xxx » 2.
1 Instead of améliorer, renforcer or consolider would better match stronger.
2 Azaghal corrected your question in the meantime.
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