The areas under threat are Yalding, Allington and parts of Maidstone with Smarden and Headcorn are on alert too. Other areas include the upper River Medway from Forest Row to Penshurst, including Ashurst.
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Forecasts show around 480,000 people are to move through Gatwick airport over Easter period.
Tuesday's weather for the east of the region
Tuesday's weather for the west of the region