Add A Letter and receive a word

You must add one letter as you move from left to right to make a new word. Do not rearrange the letters.  Do not just add an "s".

elf
>
self
>
shelf
car
>
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>
____________
____________
>
warm
>
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____________
>
tart
>
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____________
>
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>
below
are
>
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>
____________
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>
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>
trash
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>
rode
>
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>
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>
spill
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>
tone
>
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>
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>
store
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>
tall
>
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>
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>
twine
pie
>
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>
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____________
>
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>
smart
one
>
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>
____________
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>
pout
>
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____________
>
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>
small
____________
>
mean
>
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rid
>
____________
>
____________

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